1.
Write in logarithmic form: 5 3 = 125 a) log
5
3 = 125 b) log
3
5 = 125 c) log
5
125 = 3 d) log
125
= 3 5
2.
Evaluate: log
4
(1/64) a) -3 b) 4 c) -4 d) 3
3.
Solve: log
10
x = 3 a) 1000 b) 10 c) 3 d) 9
4.
Express as a single logarithm: 2 log b
x + (1/2) log b
(x-1) - 4 log b
(2x+5) a) log b x 2 - 8x + 20 b) log
b
8x c) x 2 d) log b
(x 2 √(x-1) / (2x+5) 4 )
5.
Graph f(x) = -e x State the horizontal asymptote.
6.
Use your calculator to find the common logarithm: log 4321 a) 4.453 b) 3.636 c) 8.470 d) 41
7.
Use your calculator to find x when given log x: log x = 4.4180 a) 26181.83 b) 89437.43 c) 7438.52 d) 1423.45
8.
Use your calculator to find the natural logarithm: ln 8946 a) 43.453 b) 9.099 c) 987.987 d) 543.33
9.
Solve the exponential equation: 2e x = 12.4 a) 1.82 b) 4.52 c)1,000 d) 0.65
10.
Solve the logarithmic equation: ln (3t-4) - ln (t+1) = ln 2

a) 3/2 b) 6 c) 7/10 d) 11/9
11.
Evaluate and round to three decimal places: log
8
41 a) 5.345 b) 7.438 c) 2.049 d) 1.786
12.
At what rate of interest (to the nearest tenth of a percent) compounded annually will an investment of $200 grow to $350 in 5 years? a) 6.4 % b) 8.11% c) 10.3% d) 11.8%