Logarithm Worksheet With Answer Key
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1
2
3
4Log Review (5.13)
1. Write the following logarithmic equations in exponential form.
=
=
2
log
100
2
log
2
a.
b.
e
10
e
3
=
=
log
27
3
log
27
c.
d.
3
9
2
1
=
=
log
6
log
32
5
e.
f.
36
2
2
2. Evaluate the following logarithms. Hint: what question is the logarithm asking?
=
=
log
8
log
81
a.
b.
2
3
1
1
=
=
log
log
c.
d.
5
7
5
49
− )
=
=
log
(
27
log
64
e.
f.
3
4
3. Write the following as sums or differences of logarithms (this is sometimes called
expanding because it expands the expression from one logarithm into several simpler
expressions).
2
5
x
y
2
3
log
(
)
log
a.
x
y
b.
3
b
3
z
4. Write the following as a single logarithm (this is sometimes called simplifying
because it takes multiple pieces and simplifies them into a single logarithm).
+
−
+
3
ln
4
ln
5
log
2
log
log
a.
a
b
b.
x
y
z
5. Write each of the following as the single logarithm.
log
5
ln
7
4
a.
b.
log
8
ln
3
4
6. Solve each equation.
−
=
+
⋅
=
⋅
3
3
2
2
3
140
20
5
x
x
a
b.
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