Enter a problem...
Trigonometry Examples
Popular Problems
Trigonometry
Expand the Logarithmic Expression natural log of 1/e
ln
(
1
e
)
ln
(
1
e
)
Step 1
Rewrite
ln
(
1
e
)
ln
(
1
e
)
as
ln
(
1
)
−
ln
(
e
)
ln
(
1
)
-
ln
(
e
)
.
ln
(
1
)
−
ln
(
e
)
ln
(
1
)
-
ln
(
e
)
Step 2
The
natural logarithm
of
1
1
is
0
0
.
0
−
ln
(
e
)
0
-
ln
(
e
)
Step 3
The
natural logarithm
of
e
e
is
1
1
.
0
−
1
⋅
1
0
-
1
⋅
1
Step 4
Multiply
−
1
-
1
by
1
1
.
0
−
1
0
-
1
Step 5
Subtract
1
1
from
0
0
.
−
1
-
1
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
Please ensure that your password is at least 8 characters and contains each of the following:
a number
a letter
a special character: @$#!%*?&