Review the following concepts if needed:
 Compound Growth Help
 Present Value Help
 Graphs of Exponential Functions Help
 Logarithms Help
 Simple Exponent and Logarithm Equations Help
 Exponents and Logarithmic Equations Help
 The Change of Base Formula Help
 Applications of Logarithm and Exponential Equations Help
 Finding the Growth Rate Help
 Radioactive Decay  Review and Examples Help
Exponents and Logarithms Practice Test

If $ 10,000 is invested earning 6% annual interest, compounded quarterly, what will it be worth after eight years?
(a) $15,938.48
(b) $16,103.24
(c) $11,264.93
(d) $10,613.64

What is the present value of $50,000 due in 10 years, earning 8% annual interest, compounded annually?
(a) $107,946.25
(b) $19,277.16
(c) $23,159.67
(d) $27,013.44

Rewrite log _{a} x = w as an exponential equation.
(a) a ^{w} = x
(b) a ^{x} = w
(c) x ^{a} = w
(d) w ^{a} = x

Rewrite 7 ^{m} = n as a logarithmic equation.
(a) log _{n} 7 = m
(b) log _{7} m = n
(c) log _{m} 7 = n
(d) log _{7} n = m

e ^{ln7} =
(a) ln 7
(b) 7
(c) e ^{7}
(d) (ln 7) e

Rewrite as a single logarithm.
ln x − 2 ln y + ln z

Expand the logarithm.

Solve for x : log _{6} ( x − 1) = 2.
(a) x = 3
(b) x = 37
(c) x = 13
(d) x = 65

Solve for x : log _{4} ( x + 1) + log _{4} ( x − 1) = log _{4} 8.
(a) x = 4
(b) x = ±3
(c) x = 3
(d) No solution

What is the domain for f ( x ) = log( x + 4)?
(a) (−∞, −4) ∪ (−4, ∞)
(b) (−∞, −4)
(c) (−4,∞)
(d) [−4,∞)

11. Solve for x : 3 ^{x +1} = 15.
(c) x = 4
(d) No solution

How long will it take for an investment to double if it earns 10% annual interest, compounded quarterly?
(a) About 4 years
(b) About 5 years
(c) About 6 years
(d) About 7 years

The halflife of a substance is about 40 years. What is its annual decay rate?
(a) About 1%
(b) About 1.5%
(c) About 1.7%
(d) About 2.1%
Solutions
 B
 C
 A
 D
 B
 A
 D
 B
 C
 B
 B
 D
 C
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