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# Class Note for MATH 1310 at UH

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COURSE
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This 2 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 28 views.

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Date Created: 02/06/15
Exercise Set 54 Properties of Logarithms True or False Equot 10 11 12 13 14 15 16 17 18 19 lo 20 logxy logx logy logx 7 y logx 7 logy logx y logx logy 1041 logx 7 logy y logx 7 log y lei logy logx logy log xXlogy lnx3 3lnx lnx5 Slnx lnx4 4lnx Rewrite each of the following expressions so that your answer contains sums differences andor multiples of logarithms Your answer should not contain logarithms of any product quotient or power 21 22 23 log5 9CD log3FGH 10 E g7L 24 25 26 27 28 29 30 31 32 33 34 35 36 10 g8M 1nBZP3 JI lnYSX41Z 9ker3 log 4 P W Rewrite each of the following expressions as a single logarithm 37 38 39 40 41 42 lnY7an an lnB 7lnC7lnD 4logK 3logP 7 logQ 7logF 7 ilogVlogR 310g7 x7 27 log7 x2 7 37 410g7 x 5 log6x4 2 810g677x7 210g6x Exercise Set 54 Properties of Logarithms 43 44 45 46 47 48 Evaluate the following using the laws of logarithms log7 5 310g7 2 4logz372log25 x279 x26x12 1n 1n x73 x4 x275x735 x274x 1n iln x77 x 51nx 2lnx 37 4lnx2 5 2lnxi3 7lnx79lnxi2lnxz 75 Simplify your answer as much as possible Note These should be done without a calculator 49 50 51 52 53 54 55 56 57 58 59 60 61 62 logZ 24710gZ 3 log6 9 log6 4 log410 log4 64 log2160 710g210 log 5 log 2 log 3000 710g3 10g J5 10g W eZlnS e3an 104log3 10210g7 log3 917 log5 12590 Use the Change of Base Formula to write the following in terms of natural logarithms Then use a calculator to write your answer as a decimal correct to the nearest thousandth 63 64 65 66 log5 2 log3 7 log6172 log8 235 Use the Change of Base Formula to write the following in terms of common base 10 logarithms Then use a calculator to write your answer as a decimal correct to the nearest thousandth 67 68 69 70 log9 4 log7 8 log4 89 logZ 07 Rewrite the following as sums so that each logarithm contains a prime number 71 72 73 74 75 76 77 78 ln6 ln10 log 28 log 45 log 60 log 168 In 270 In 480

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