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Rule of e
Reference
> Algebra: Natural Logarithms
Description
The Rule of e states that:
ln
e
=
1
\ln{e}=1
ln
e
=
1
Examples
ln
(
e
3
)
\ln{({e}^{3})}
ln
(
e
3
)
1
Use
Power Rule
:
ln
(
x
y
)
=
y
ln
x
\ln{({x}^{y})}=y\ln{x}
ln
(
x
y
)
=
y
ln
x
.
3
ln
e
3\ln{e}
3
ln
e
2
Use
Rule of e
:
ln
e
=
1
\ln{e}=1
ln
e
=
1
.
3
×
1
3\times 1
3
×
1
3
Simplify.
3
3
3
Done
3
English
Rule of e