Drill 6-solutions-1

# Drill 6-solutions-1 - to(aqt73 Drill 6 seckin(54330 This...

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to (aqt73) – Drill 6 – seckin – (54330) 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points Simplify ln radicalbig x ( x + 1) completely. 1. 1 2 (ln x ) ln( x + 1) 2. (ln x ) ln( x + 1) 3. 1 2 ln x + ln( x + 1) 4. 1 2 (ln x + ln[ x + 1]) correct 5. None of these 6. ln x + ln( x + 1) Explanation: ln radicalbig x ( x + 1) = ln ( x [ x + 1]) 1 / 2 = 1 2 ln ( x [ x + 1]) = 1 2 (ln x + ln[ x + 1]) 002 (part 2 of 2) 10.0 points Simplify ln 1 x ( x + 1)( x + 2) completely. 1. - ln x + 2 ln( x + 1) 2. - ln x - 2 ln( x + 1) 3. None of these 4. - ln x + ln( x + 1) - ln( x + 2) 5. ln x + ln( x + 1) + ln( x + 2) 6. - ln x - ln( x + 1) - ln( x + 2) correct Explanation: ln 1 x ( x + 1)( x + 2) = ln 1 - ln ( x [ x + 1][ x + 2]) = 0 - (ln x + ln[ x + 1] + ln[ x + 2]) = - ln x - ln( x + 1) - ln( x + 2) 003 (part 1 of 2) 10.0 points a) Express 3 log x - 1 3 log( x - 3) as a single logarithm. 1. log x 3 x - 3 2. log x x - 3 3. log x 2 x - 3 4. None of these 5. log x 3 3 x - 3 correct 6. log x 3 x - 3 Explanation: 3 log x - 1 3 log( x - 3) = log x 3 - log( x - 3) 1 / 3 = log x 3 3 x - 3 004 (part 2 of 2) 10.0 points b) Express 2 (log x + log y - 3 log z ) as a single logarithm.

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