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Precalculus Examples
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Precalculus
Evaluate e^(5( natural log of x))
e
5
(
ln
(
x
)
)
e
5
(
ln
(
x
)
)
Step 1
Simplify
5
(
ln
(
x
)
)
5
(
ln
(
x
)
)
by moving
5
5
inside the logarithm.
e
ln
(
x
5
)
e
ln
(
x
5
)
Step 2
Exponentiation and log are
inverse
functions
.
x
5
x
5
e
5
(
l
n
(
x
)
)
e
5
(
l
n
(
x
)
)
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
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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