Name_______________________________________Date_________________Period:______
Algebra 2 Using Logarithms Worksheet
1. Solve each equation by taking the log of both sides. Show all work.
a. 4 x 99
b. 6 x 729
d. 7 x
4.88
e. 5x
0.75
c. 2x 1.5
f.
20 x
0.04
2. Solve each equation by isolating the exponential part and taking the log of both sides. Show all work.
a. 15 2 x
d. 4 7 x
10
1
b. 5 3x
35
e. 26 x
c. 11 3 4
f.
28
4x
5
x
26
17
3. Solve for x by rewriting into log form and solving:
a. 9x - 5 = 81
b. 2 6 x
9
1
64
c. 2 3
x
1
4
0
d. 3x - 7 = 243
e. 43x + 35 = 1,024
f. 81 + x = 512
g. 25c
h. 6c = 140
i. 93a = 57
20
4. Rewrite each logarithmic equation in exponential form. Then Solve for x.
A . log 32 4
f. log125
k. log1 6
x
1
25
x
x
b. log x 16
5
6
g. log x 243
l. log100 x
c. log 32 x
2
5
2
7
5
2
3
h. log1000 x
m. log x 3
0
1
27
x
e. log x 81
4
3
i. log x 625
4
3
j. log16 64
x
n. log 3 243
x
o. log 27 x
d . log3
125
4
3