Math111i_GroupQuiz7_Solutions

# Math111i_GroupQuiz7_Solutions - Math 111I Sec 001 Name...

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Math 111I Sec 001 Group Quiz 7 Solutions Name Directions: Read each question carefully and answer in the space pro- vided. The use of calculators is allowed, but not necessary. There are 10 points possible. To receive partial credit on any problem work must be shown. 1. Simplify the following expression using the rules for logarithms. Ex- press your answer as a single logarithm ln(4 a - 2) + 1 2 ln( - 4 a + 2) Solutions. The solution is given by the following computation. ln(4 a - 2) + 1 2 ln( - 4 a + 2) = ln(4 a - 2) + ln ( ( - 4 a + 2) 1 / 2 ) = ln(4 a - 2) + ln ( - 4 a + 2 ) = ln ± (4 a - 2) · - 4 a + 2 ² 2. Find the exact solution to the following equation for t . Express your answer using only the numbers given, logarithms, division, multiplica- tion, addition, or subtraction. 43(0 . 65) t = 6 Solutions. We solve for t in the following manner. 43(0 . 65) t = 6 (0 . 65) t = 6 43 ln ± (0 . 65) t ² = ln ³ 6 43 ´ t ln(0 . 65) = ln ³ 6 43 ´ t = ln ( 6 43 ) ln(0 . 65)

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Math 111I Sec 001 Group Quiz 7 Solutions
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Math111i_GroupQuiz7_Solutions - Math 111I Sec 001 Name...

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