# Exponents and Logarithms

1) Simplify each of the following.
a) 5-3 b)

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c) (5×3)2 d) (4a3)2

e) (3m1/2)4 f) (27p3q6r-1)1/3

2) Solve each equation.
a) logx 49 = 2 b) log6 216 = x

c) log |x| = 15 d) log = x

3) You invest \$2500 in an account paying 5% compounded quarterly for six years. How much will be in the account at the end of the time period?

4) You invest \$1000 in an account paying 6% compounded monthly. How long will it take to double your investment?

5) The half life of a radioactive isotope is 8 days. If 3.6 kg are present now, how much will be present in t days? How much will be present in 22 days?

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