Problem Sheet #11 (4.4-4.6)
ClassID: _____ Name: _________________________ Hmk. 11 Score _________
Math 1090 – 001 Spring 2013
Instructor: Katrina Johnson
Complete each problem. Clearly indicate your final answer. No credit will be given without
supporting work.
1. Expand the logarithmic expression completely.
4 ⎞
⎛
2 3 ( x −1) ⎟
⎜
ln x
⎜
x + 9 ⎟⎠
⎝
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2. Condense the logarithmic expression completely.
3log 5 x − 4 log 5 (x + 5) + log 5 9
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3. Evaluate without using a calculator.
⎛ 1 ⎞
4 lne − ln1+ ln⎜ 3 ⎟ + lne 3
⎝ e ⎠
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4. Solve.
log 2 x 2 − log 2 (x + 5) = 2
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5. Solve each equation.
a) 2 3w +5 +1 = 4
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c) 2 e
(
2x
−10) = −3e x
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6. Melanie saved $5,000 from her weekly cash over the last two years. She wants to invest
her money in an account that grows according to the formula A(t) = P(1.05 2t ) , where P is
the original amount invested, t is the number of years she leaves her money in that
account and A is the value of that account at time t.
a) How much will the account be worth after two years?
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b) After how many years will she have $10,500?