NAME _____________________________________
DATE _____________________
Logarithms and Exponents - Worksheet #2
Express in logs:
1) 2 3 = 8
2) 3 2 = 9
3) 10 − 2 =
1
100
4) 6 3 = 216
5) 4.5 = 2
4) log .5 .25 = 2
5) log 2
Express with exponents:
1) log 2 16 = 4
2) log 3 27 = 3
3) log 8 64 = 2
Evaluate (Set equal to x and take out of logs):
1) log 10,000
10) log 1
2) log 2 8
11) log 3 1
3) log 2 16
12) log
4) log 2 64
13) log 27 81
5) log .01
14) log 3
6) log .0001
15) log 8 32
7) log 10
16) log 1 8
10
1
9
2
17) log 1 27
8) log 3 9
9) log 3
3
1
27
18) log
2
16
Solve for variables:
19) log x 64 = 3
24) log10 x = −3
20) log x 32 = 5
25) log10 1 = x
21) log x 8 =
3
2
22) log 3 x = 4
23) log 2 x = 7
26) log 4 8 = y
1
=y
16
8
27) log 1
1
= −3
8