/Length3 0 >> endobj L 25 0 obj /D [2 0 R /XYZ 285.51 678.051 null] endobj She taught at Bradley University in Peoria, Illinois for more than 30 years, teaching algebra, business calculus, geometry, and finite mathematics. Logarithm Properties Cheat Sheet Pdf Right here, we have countless ebook Logarithm Properties Cheat Sheet Pdf and collections to check out. 7 0 obj 15 0 obj << /Contents 5 0 R &ScIdwtM &_i Dummies helps everyone be more knowledgeable and confident in applying what they know. endobj wUDZ,.odPnc\0&y3. stream /Font << /F20 4 0 R /F8 5 0 R /F10 6 0 R /F11 7 0 R /F1 8 0 R /F14 9 0 R /F7 10 0 R /F9 11 0 R >> 5 0 obj ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8985"}}],"primaryCategoryTaxonomy":{"categoryId":33721,"title":"Algebra","slug":"algebra","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33721"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[],"relatedArticles":{"fromBook":[{"articleId":207507,"title":"Algebra II For Dummies Cheat Sheet","slug":"algebra-ii-for-dummies-cheat-sheet","categoryList":["academics-the-arts","math","algebra"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/207507"}},{"articleId":196396,"title":"Algebraic Permutations and Combinations","slug":"algebraic-permutations-and-combinations","categoryList":["academics-the-arts","math","algebra"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/196396"}},{"articleId":196395,"title":"Algebras Quadratic Formula","slug":"algebras-quadratic-formula","categoryList":["academics-the-arts","math","algebra"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/196395"}},{"articleId":196394,"title":"Rules for Radicals the Algebraic Kind","slug":"rules-for-radicals-the-algebraic-kind","categoryList":["academics-the-arts","math","algebra"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/196394"}},{"articleId":196389,"title":"Algebra Equations for Multiplying Binomials","slug":"algebra-equations-for-multiplying-binomials","categoryList":["academics-the-arts","math","algebra"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/196389"}}],"fromCategory":[{"articleId":255800,"title":"Applying the Distributive Property: Algebra Practice Questions","slug":"applying-the-distributive-property-algebra-practice-questions","categoryList":["academics-the-arts","math","algebra"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/255800"}},{"articleId":245778,"title":"Converting Improper and Mixed Fractions: Algebra Practice Questions","slug":"converting-improper-mixed-fractions-algebra-practice-questions","categoryList":["academics-the-arts","math","algebra"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/245778"}},{"articleId":210251,"title":"How to Calculate Limits with Algebra","slug":"how-to-calculate-limits-with-algebra","categoryList":["academics-the-arts","math","algebra"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/210251"}},{"articleId":210250,"title":"Understanding the Vocabulary of Algebra","slug":"understanding-the-vocabulary-of-algebra","categoryList":["academics-the-arts","math","algebra"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/210250"}},{"articleId":210249,"title":"Understanding Algebraic Variables","slug":"understanding-algebraic-variables","categoryList":["academics-the-arts","math","algebra"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/210249"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":281940,"slug":"algebra-ii-for-dummies-2nd-edition","isbn":"9781119543145","categoryList":["academics-the-arts","math","algebra"],"amazon":{"default":"https://www.amazon.com/gp/product/1119543142/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119543142/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119543142-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119543142/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119543142/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/algebra-ii-for-dummies-2nd-edition-cover-9781119543145-203x255.jpg","width":203,"height":255},"title":"Algebra II For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"
Mary Jane Sterling is the author of Algebra I For Dummies, Algebra Workbook For Dummies, and many other For Dummies books. /Resources 4 0 R College Algebra Logarithmic Functions. 4s6=z3"{3b7#bD7#x/Vi! 37#cC&E>asqz{Ah03f@bW,4u$D'c5;\t00sY`A\>HpOO2gU$_ % stream /D [2 0 R /XYZ 252.122 597.353 null] /D [2 0 R /XYZ 278.621 457.459 null] 17 0 obj << K;2WNjKOc^?Z M #K@4mr izvEc
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6uSgLAjN5(aHL$U'ED)dy"y"uQ6!N"O WebMath Formulas: Logarithm formulas Logarithm formulas 1. y = log a x ()ay = x (a;x > 0;a 6= 1) 2. log a 1 = 0 3. log a a = 1 4. log a (mn) = log a m+log a n 5. log a m n = log a m log a n 6. By entering your email address and clicking the Submit button, you agree to the Terms of Use and Privacy Policy & to receive electronic communications from Dummies.com, which may include marketing promotions, news and updates. cvtVZV[Ql~;ExXIC/O WebSymbolab Derivatives Cheat Sheet Derivative Rules: :Power Rule: ;=1 ;Derivative of a Constant: :=0 2Sum/Difference Rule: /Length3 0 Q!_ << /Type /XObject /Subtype /Form /FormType 1 /BBox [ 0 0 100 100 ] /Matrix [ 1 0 0 1 0 0 ] /Resources 5 0 R /Filter /FlateDecode /Length 15 >> ]V5Pf[$$$_\pF/;,FF.c -{j!lU\
2OS`H}*/czIUzIxzZ ryStdQ9|;ai|i*6;">W[dch:hxzV9Ge*g-\Y@>J&V-! :+s!DY1wj"hoT.GfI[M"6($Q"m1K! endobj endobj xP( 5 0 obj endstream WebHiring - A Level Maths students (predicted an A*) or Further Maths students (predicted an A or A* ) to write solutions for worksheets & other resources. \"https://sb\" : \"http://b\") + \".scorecardresearch.com/beacon.js\";el.parentNode.insertBefore(s, el);})();\r\n","enabled":true},{"pages":["all"],"location":"footer","script":"\r\n
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","blurb":"","authors":[{"authorId":8985,"name":"Mary Jane Sterling","slug":"mary-jane-sterling","description":" Mary Jane Sterling is the author of Algebra I For Dummies, Algebra Workbook For Dummies, and many other For Dummies books. /ProcSet [ /PDF /Text ] [619.7 502.4 510.5 594.7 542 557.1 557.3 668.8 404.2 472.7 607.3 361.3 1013.7 706.2 563.9 588.9 523.6 530.4 539.2 431.6 675.4 571.4 826.4 647.8 579.4] >> The logarithm of a given number The laws are the product rule law, quotient rule law, power rule law. Then the following properties of exponents hold, provided that all of the stream Weblog(2) = rt So for doubling: t = log(2)/r. Remember: It is OKAY for x x to be 0 0 or negative. 33 0 obj stream /Length1 1553 Mary Jane Sterling is the author of Algebra I For Dummies, Algebra Workbook For Dummies, and many other For Dummies books. She taught at Bradley University in Peoria, Illinois for more than 30 years, teaching algebra, business calculus, geometry, and finite mathematics.
","authors":[{"authorId":8985,"name":"Mary Jane Sterling","slug":"mary-jane-sterling","description":"Mary Jane Sterling is the author of Algebra I For Dummies, Algebra Workbook For Dummies, and many other For Dummies books. %PDF-1.3 However, it is NOT ALLOWED to have a logarithm of a negative number or a logarithm of zero, 0 0, when substituted or evaluated into the original logarithm equation. [~ FZH[$ `R\gJX}KvL7yn-C4&yTTKtvH,6nh(s5=kc-]-;%TT =*T ~iYrG-5H^DmaCDJ^iO%xW&e9Ixnvq&u'CU.3gzZUkNT$q3Ax +.CGFRj/cPEg7{vjN**b`}kL8A.U!o?LuV _zq]EB ETfD&:4|;/rkHY\T}x+"#) Wv]*Ec6QZ$.b^Zh|l+ Currently this cheat sheet is 4 pages long. 21 0 obj << /Filter /FlateDecode r)oZH@%$ B(Ih"wp] ;Nr3! q@1XG@{% .gyUORDs]RpM]eX %PDF-1.5 ChatGPT cheat sheet: Complete guide for 2023. by Megan Crouse in Artificial Intelligence. endstream Quotient Rule: f g 0 = *El#*[mShI Z p2 qD*W6~ H7C-|m$Sf6Q}Tf*>$WlT];d0-{8BrnlWXF U{&Of|ETxWU'yK@Jn:hi}FB T=_nOLF\NlQ"$> eC:7q>Rw=Q= V/CyFF'w`aN* V4m~RU36f>v]oO?f-R/VcG|h+Q#OyXfVM^]Kf9Y2920%p"}[A.V&(g`0lyhjDa^3n\('gTlu>7%O)iZW-YZL~L3%&5UXXX Zero Rule log1=0 The logarithm of 1 to any positive base is zero. >> endobj /D [2 0 R /XYZ 275.26 487.057 null] endstream xa\H0 Yq'a>9)?%9_w?`')a]> "HD} ) u# xP( The algebra formulas here make it easy to find equivalence, the logarithm of a product, quotient, power, reciprocal","noIndex":0,"noFollow":0},"content":"
Logarithms help you add instead of multiply. Webbase of your logarithm, and b is the base you would like to have instead. The rules of exponents apply to these and make simplifying logarithms easier. )S_oF* lp[~uJ%;Hp%L`YsY QNdTQ(q7P P";*K}U.CQ3bxG_}=W)$f3/9)}35 (\frac{a}{b})^{-1}=\frac{1}{\frac{a}{b}}=\frac{b}{a}, (\frac{a}{b})^{-c}=((\frac{a}{b})^{-1})^{c}=(\frac{b}{a})^{c}, \frac{\frac{b}{c}}{a}=\frac{b}{c \cdot a}, \left| ax\right| = a \left| x\right| \: , \: a\ge 0, \frac{a^m}{a^n}=\frac{1}{a^{n-m}}\:,\: n>m, \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:a,b\ge0, \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}},\:a,b\ge0, x^{n}-y^{n} = (x-y)(x^{n-1}+x^{n-2}y+ \dots + xy^{n-2} + y^{n-1}), x^{n}+y^{n} = (x+y)(x^{n-1}-x^{n-2}y+ \dots - xy^{n-2} + y^{n-1}) \quad \quad \mathrm{n\:is\:odd}, ax^(2n)-b = (\sqrt{a}x^n+\sqrt{b})(\sqrt{a}x^n-\sqrt{b}), ax^(4)-b = (\sqrt{a}x^2+\sqrt{b})(\sqrt{a}x^2-\sqrt{b}), ax^(2n)-by^(2m) = (\sqrt{a}x^n+\sqrt{b}y^m)(\sqrt{a}x^n-\sqrt{b}y^m), ax^(4)-by^(4) = (\sqrt{a}x^2+\sqrt{b}y^2)(\sqrt{a}x^2-\sqrt{b}y^2), \frac{n!}{(n+m)! /Font << /F8 7 0 R /F16 9 0 R /F11 11 0 R /F10 12 0 R /F14 13 0 R >> % +74c&N*T:&I53vr5O +N XOGQDi3Vx67/@x:d! |9JV63N&Y'A0I5X7*CSYe^iW}He=f $o )O*.l>8VF=`Hrb?i)$z{n_!1pSMv3NB9"b/(BX%/%!%_mh `YDKfNt_84\W1)$[ !tMuC.cyC. Dummies has always stood for taking on complex concepts and making them easy to understand. Write log 16 log 2 as a single logarithm. Arithmetic Operations Properties of Inequalities log b b x = x b logb x = x. endstream >> WebTherefore, when given an equation with logs of the same base on each side, we can use rules of logarithms to rewrite each side as a single logarithm. /Filter /FlateDecode /Border[0 0 1]/H/I/C[0 1 1] A unit circle (completely filled out) is also included. This cheat sheet covers the high school math concept Logarithm. Pre-calculus involves graphing, dealing with angles and geometric shapes such as circles and triangles, and finding absolute values. endstream There are three laws of logarithms that are derived using the basic rules of exponents. /Resources 1 0 R << /Type /XObject /Subtype /Form /FormType 1 /BBox [ 0 0 100 100 ] /Matrix [ 1 0 0 1 0 0 ] /Resources 34 0 R /Filter /FlateDecode /Length 15 >> % xP( << /Type /XObject /Subtype /Form /FormType 1 /BBox [ 0 0 100 100 ] /Matrix [ 1 0 0 1 0 0 ] /Resources 18 0 R /Filter /FlateDecode /Length 15 >> Hence, it is necessary that we should also learn exponent law . Math Formulas: Logarithm formulas. Logarithm formulas. 1. y = log. ax ()ay= x (a;x > 0;a 6= 1) 2. log. a1 = 0 3. log. aa = 1 4. log. a. (mn) = log. am+log. If a < b then a + c < b + c and a - c < b - c Example. WebLogarithm Properties Cheat Sheet Logarithm Properties Cheat Sheet Free Download Here pdfsdocuments2 com. >> 7 /ProcSet [ /PDF /Text ] stream >> endobj >> endobj endstream 26 0 obj A Logarithm Rules is use to compute the settlement duration of finance. endobj Example: 2log 10 100 Rules Cheat Sheet Last Updated: Mar. WebALWAYS check your solved values with the original logarithmic equation. =.T]bH~i*Q1B}#cyA_9nwl4,CJYWvO(20ti]ri/J0[Q@Ic~/_U2 D6t>QG~Tl9N~ilKJH -*WAAmK 'T*5]M];}er,A}V{3,s`0X&0"GTl0,SQ b9/4[g 15 0 obj << /Length 3180 Trig Cheat Sheet - Here is a set of common trig facts, properties and formulas. stream 2 0 obj << CT1{-ju7UYTjUzNpB8g Q$/WK~MU2]fUsX&KzN&4X /Length1 1616 logb N x if and only if b x N or ln N x if and only if e x N >> endobj << /Type /XObject /Subtype /Form /FormType 1 /BBox [ 0 0 100 100 ] /Matrix [ 1 0 0 1 0 0 ] /Resources 8 0 R /Filter /FlateDecode /Length 15 >> endobj (7!/" >AObN}{MYv7Pz]pf'"4,[1 Lw!aDzDa_6_4/G0[JkTa+UHcn$bc%yT)1.QIJs?(G5D@"E92kt*Eks:dr$>dOh V&3XAd)NKc^ XE3KB-$xUfsH)SVfA9h$H%77_~5yItg&C3u%.hhO*W0B69@v#16=6NCnK?@84^Y! = 0.693147/0.02. WebLog Rules; Undefined; Complex Number Rules; Trigonometry; Basic Identities; Pythagorean Identities; Double-Angle Identities; Sum/Difference Identities; Product-To-Sum Identities; 27, 2022 Rules help you to take full advantage of Coralogix capabilities, you can create your own log formatting using Coralogix parsing rules, for example, convert plain text logs into JSON logs, extract specific data from the log message to its own new JSON key. Exponents. >> endobj ?^)^11>hOlI*?~T}/nXb)\HnFJdul4y1>rw*vZG:kWz6~;ecC1!SKpG{Z* ;`m n!x%u|.LVK-/h k4Z@D&,1"u |gP}v~fw>,c]$i_@"%c2Xeqd gl7Z}xo\j%a,(9dqqq;o3 Y$ 2 0 obj << >> endobj [312.5 312.5 342.6 875 531.3 531.3 875 849.5 799.8 812.5 862.3 738.4 707.2 884.3 879.6 419 581 880.8 675.9 1067.1 879.6 844.9 768.5 844.9 839.1 625 782.4 864.6 849.5 1162 849.5 849.5 687.5 312.5 581 312.5 562.5 312.5 312.5 546.9 625 500 625 513.3 343.7 562.5 625 312.5 343.7 593.8 312.5 937.5 625 562.5 625 593.8 459.5 443.8 437.5 625] a = log b ( x r. ) = r log x. Logarithms help you add instead of multiply. WebThe logarithm of a positive number is the power of the base that produces the number. Then we use the fact that logarithmic functions are one-to-one to set the arguments equal to endstream -u7!*KiZ udb:;%;c`km(9**Pt >%lnDSM/a[B_TE]f2yZ,rYf?-g*cIHcQQe?so.h+%|_zFs WA*Pz Q+yq P~q &w+K[GfJsc!+SP&\:,:, VEEO1m endobj endstream % a R0}'lP'u:aw\dqc&,6Af|l\^m?)B[5Od\7qhG@G/eqP0JBt3o2L >~~g[~(KNm9UkPSkCd5y;A?IvE << /S /GoTo /D [2 0 R /Fit] >> /Annots [ 3 0 R ] 31 0 obj /Filter /FlateDecode Web Dev Cheat Sheets. Let a and b be real numbers and m and n be integers. Whether it's to pass that big test, qualify for that big promotion or even master that cooking technique; people who rely on dummies, rely on it to learn the critical skills and relevant information necessary for success. !VZFXMVB2$hI?dqEh8 ++2a(}PUhIf?'&5 $HyTM~I\^%d 9 0 obj xP( endobj 1 0 obj WebProperties of Exponents and Logarithms. endobj WebTitle: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 12/9/2022 7:12:41 AM /D [2 0 R /XYZ 262.771 570.454 null] 20 0 obj << /Length 889 << /Type /XObject /Subtype /Form /FormType 1 /BBox [ 0 0 100 100 ] /Matrix [ 1 0 0 1 0 0 ] /Resources 10 0 R /Filter /FlateDecode /Length 15 >> /Parent 12 0 R 14 0 obj << /Type /Page << /Type /XObject /Subtype /Form /FormType 1 /BBox [ 0 0 100 100 ] /Matrix [ 1 0 0 1 0 0 ] /Resources 32 0 R /Filter /FlateDecode /Length 15 >> << /Type /XObject /Subtype /Form /FormType 1 /BBox [ 0 0 100 100 ] /Matrix [ 1 0 0 1 0 0 ] /Resources 27 0 R /Filter /FlateDecode /Length 15 >> College Algebra Logarithmic Functions. 28 0 obj x]oKd}IKQEQ@K3q}_DJz k{6}9Y%Ub N 10 0 obj << endobj /Length 9686 {ic,D/E5= 8'0aVa*u/k[Obg@x3:35b\_4Lty[rM1va] '')M4 << /Type /XObject /Subtype /Form /FormType 1 /BBox [ 0 0 100 100 ] /Matrix [ 1 0 0 1 0 0 ] /Resources 30 0 R /Filter /FlateDecode /Length 15 >> 35 0 obj [777.8 277.8 777.8 500 777.8 500 777.8 777.8 777.8 777.8 777.8 777.8 777.8 1000 500 500 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 1000 1000 777.8 777.8 1000 1000 500 500 1000 1000 1000 777.8 1000 1000 611.1 611.1 1000 1000 1000 777.8 275 1000 666.7 666.7 888.9 888.9 0] WebLogarithm Cheat Sheet These values are accurate to within 1%: e 2:7 ln(2) 0:7 ln(10) 2:3 log 10 (2) 0:3 log 10 (3) 0:48 Some other useful quantities to with 1%: 22 p 7 10 p >> endobj stream >> endobj The base in log(x) is assumed to be e, unless specified otherwise. >> endobj Get up and running with ChatGPT with this comprehensive cheat sheet. [Ir`bm? /Contents 3 0 R The topics included in this cheat sheet are: To follow updates or to share feedback, please use any of the links below: 2023 9Qi/t-TV777 C'/C#J| =%;!er>=8iuy 6A2dn]Gr>Zf"sVA}s|HI `)5Wokq`SUYV'&Yd8p%4SzUii33\:)\7S853a0"s/ "[`| *y=hZT("`tjE~<=D%7,0K~P?3t3&db2ed8j^:1( Mc]:&. >> endobj 23 0 obj For example, the logarithm of 10000 to base 10 is 4, because 4 is the power to which ten must be raised to produce 10000: 10 4 = 10000, so log 10 10000 = 4. 18 0 obj << /Length 2205 /D [2 0 R /XYZ 257.07 543.555 null] >> /Length 971 (division rule) It is tempting to try to contract the remaining two logarithms, but read the division rule very closely. It allows us to do something with division within a log", not log divided by log". There is no rule to handle this situation, so we simply leave it as it is. Top 10 Math Cheat Sheets stream /D [2 0 R /XYZ 221.437 704.95 null] <> 46 0 obj stream nPC>_~d7#,m!};7~rH0Hp,^59+y` 42MZP! This one page PDF covers summarised theory and the most important formulas related to the concept. Logarithms help you add instead of multiply. @sCQ #]iFeqHur Basic Properties & Facts. WebCalculusCheatSheet Limits Definitions PreciseDefinition:Wesaylim x!a f(x) = L iffor every" > 0 thereisa > 0 suchthatwhenever 0 < jx aj < thenjf(x) Lj < ". /MediaBox [0 0 595.276 841.89] log a (x) = log b (x) log b (a) Cancellation Properties of Logarithms These rules are used to solve for x when x xWnG+(3! P|`p*cPC('cJDXJ9. The logarithm of Nto the baseais denoted asloga(N) or logaN. % f8A" B3#C&k.y2Mvc 4^(XI1Cv3zZ (W('vrs/3TSd2 OWY:IHqSD0)x`! /Parent 23 0 R >> endobj /D [2 0 R /XYZ 271.284 513.956 null] eE'R [E{isoIM@Xcj%gl"ls;H8%lXEq stream mtYa;G>\^]O8NZh+wmjVv3h}7&P94;1P\9Hoota^z70P^$z(ZI8KC`OTd This cheat sheet is designed to help you review key formulas and functions on the fly as you study. /Length2 7846 This cheat sheet covers the high school math concept Logarithm. endstream WebAlgebraCheatSheet FunctionsandGraphs ConstantFunction y = a or f (x) = a Graphisahorizontallinepassingthroughthe point(0;a). >> endobj k>+p=Hw!1Q1k~xQ&\E82|HI,VS kJ5y]{}4MxMFUeD+2Nm!"UG?2WE2Z2-~I{h{iy Q6J=rMCw.&be%rIL$UW9Zd0_UA_g/88qVz`XeA/*pq pz$Lx@U~)0`#gwYLZA*^ Keep it handy while youre revising the concept, especially before an exam. }| oH T 5A mmm @A! /D [2 0 R /XYZ 55.693 823.059 null] 11 0 obj /Type /Page Top 10 Math Cheat Sheets Math Concentration. % We additionally have the funds for variant types and plus type of the derivatives cheat sheet symbolab web log rules undefined complex number rules trigonometry basic identities pythagorean "IWF0+7^n\`74i0igin3~h[:eZzm>v`6V3y 7$&4Lr1B8* p( ="HC./EX9={AGq%! }_pOfz;;Ta*K`3cX7g9rh,*v4g@lw]E4jXX?:XI>ko_B5?kZ7esgKTku2`q!^uej9etzuc0JNIi`G"F*Bup|wEEDEk,lDYKG8H-f M|Bo- hipKFvfy {w 3UWqFT%. 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