Homework 20 - vu(tv2894 Homework 20(Section 7.3 miner(55096...

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vu (tv2894) – Homework 20 (Section 7.3) – miner – (55096) 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find the value of x when x = 6 log 3 parenleftBig 1 9 parenrightBig - 9 log 4 256 without using a calculator. 1. x = 48 2. x = - 48 correct 3. x = - 44 4. x = 44 5. x = - 45 Explanation: By properties of logs, log 3 parenleftBig 1 9 parenrightBig = log 3 parenleftBig 1 (3) 2 parenrightBig = - 2 , while log 4 256 = log 4 (4) 4 = 4 . Consequently, x = - 36 - 12 = - 48 . 002 10.0 points Find the value of x when x = 1 2 parenleftBig 6 log 6 3 parenrightBig - 5 parenleftBig 5 - log 5 4 parenrightBig . 1. x = 1 3 2. x = - 7 24 3. x = 1 4 correct 4. x = 7 24 5. x = - 1 4 Explanation: Since 6 log 6 x = x, 5 - log 5 x = 1 x , we see that 6 log 6 3 = = 3 , while 5 - log 5 4 = = 1 4 . Consequently, x = 3 2 - 5 4 = 1 4 . 003 10.0 points Which one of the following could be the graph of f ( x ) = - log 2 (3 - x ) when dashed lines indicates asymptotes? 1.
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