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Precalculus Examples
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Precalculus
Evaluate natural log of e^(2/3)
ln
(
e
2
3
)
ln
(
e
2
3
)
Step 1
Expand
ln
(
e
2
3
)
ln
(
e
2
3
)
by moving
2
3
2
3
outside the logarithm.
2
3
ln
(
e
)
2
3
ln
(
e
)
Step 2
The
natural logarithm
of
e
e
is
1
1
.
2
3
⋅
1
2
3
⋅
1
Step 3
Multiply
2
3
2
3
by
1
1
.
2
3
2
3
Step 4
The result can be shown in
multiple
forms.
Exact Form:
2
3
2
3
Decimal Form:
0.
¯
6
0.
6
‾
l
n
(
e
2
3
)
l
n
(
e
2
3
)
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
7
7
8
8
9
9
≤
≤
°
°
θ
θ
4
4
5
5
6
6
/
/
^
^
×
×
>
>
π
π
1
1
2
2
3
3
-
-
+
+
÷
÷
<
<
∞
∞
,
,
0
0
.
.
%
%
=
=
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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