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Trigonometry Examples
Step-by-Step Examples
Trigonometry
Exponential and Logarithmic Functions
Expand the Logarithmic Expression
log
3
(
4
x
3
)
log
3
(
4
x
3
)
Step 1
Rewrite
log
3
(
4
x
3
)
log
3
(
4
x
3
)
as
log
3
(
4
)
+
log
3
(
x
3
)
log
3
(
4
)
+
log
3
(
x
3
)
.
log
3
(
4
)
+
log
3
(
x
3
)
log
3
(
4
)
+
log
3
(
x
3
)
Step 2
Expand
log
3
(
x
3
)
log
3
(
x
3
)
by moving
3
3
outside the logarithm.
log
3
(
4
)
+
3
log
3
(
x
)
log
3
(
4
)
+
3
log
3
(
x
)
Step 3
Simplify each
term
.
Tap for more steps...
Step 3.1
Rewrite
log
3
(
4
)
log
3
(
4
)
as
log
3
(
2
2
)
log
3
(
2
2
)
.
log
3
(
2
2
)
+
3
log
3
(
x
)
log
3
(
2
2
)
+
3
log
3
(
x
)
Step 3.2
Expand
log
3
(
2
2
)
log
3
(
2
2
)
by moving
2
2
outside the logarithm.
2
log
3
(
2
)
+
3
log
3
(
x
)
2
log
3
(
2
)
+
3
log
3
(
x
)
2
log
3
(
2
)
+
3
log
3
(
x
)
2
log
3
(
2
)
+
3
log
3
(
x
)
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⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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