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Algebra
Expand the Logarithmic Expression log of xyz^2
log
(
x
y
z
2
)
log
(
x
y
z
2
)
Step 1
Rewrite
log
(
x
y
z
2
)
log
(
x
y
z
2
)
as
log
(
x
y
)
+
log
(
z
2
)
log
(
x
y
)
+
log
(
z
2
)
.
log
(
x
y
)
+
log
(
z
2
)
log
(
x
y
)
+
log
(
z
2
)
Step 2
Rewrite
log
(
x
y
)
log
(
x
y
)
as
log
(
x
)
+
log
(
y
)
log
(
x
)
+
log
(
y
)
.
log
(
x
)
+
log
(
y
)
+
log
(
z
2
)
log
(
x
)
+
log
(
y
)
+
log
(
z
2
)
Step 3
Expand
log
(
z
2
)
log
(
z
2
)
by moving
2
2
outside the logarithm.
log
(
x
)
+
log
(
y
)
+
2
log
(
z
)
log
(
x
)
+
log
(
y
)
+
2
log
(
z
)
l
o
g
(
x
y
z
2
)
l
o
g
(
x
y
z
2
)
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
7
7
8
8
9
9
≤
≤
4
4
5
5
6
6
/
/
^
^
×
×
>
>
∩
∩
∪
∪
1
1
2
2
3
3
-
-
+
+
÷
÷
<
<
π
π
∞
∞
,
,
0
0
.
.
%
%
=
=
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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