Expand log (√x^3.y^2)
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Precalculus Examples
Popular Problems Precalculus Expand log base a of (x^3(y^2))/( square root of w)
log
a
(
x
3
(
y
2
)
√
w
)
Rewrite
log
a
(
x
3
(
y
2
)
√
w
)
as
log
a
(
x
3
(
y
2
)
)
−
log
a
(
√
w
)
.
log
a
(
x
3
(
y
2
)
)
−
log
a
(
√
w
)
Rewrite
√
w
as
w
1
2
.
log
a
(
x
3
(
y
2
)
)
−
log
a
(
w
1
2
)
Expand
log
a
(
w
1
2
)
by moving
1
2
outside the logarithm.
log
a
(
x
3
(
y
2
)
)
−
(
1
2
log
a
(
w
)
)
Combine
1
2
and
log
a
(
w
)
.
log
a
(
x
3
(
y
2
)
)
−
log
a
(
w
)
2
Rewrite
log
a
(
x
3
(
y
2
)
)
as
log
a
(
x
3
)
+
log
a
(
y
2
)
.
log
a
(
x
3
)
+
log
a
(
y
2
)
−
log
a
(
w
)
2
Expand
log
a
(
x
3
)
by moving
3
outside the logarithm.
3
log
a
(
x
)
+
log
a
(
y
2
)
−
log
a
(
w
)
2
Expand
log
a
(
y
2
)
by moving
2
outside the logarithm.
3
log
a
(
x
)
+
2
log
a
(
y
)
−
log
a
(
w
)
2
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