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Inverse Rule
Reference
> Algebra: Common Logarithms
Description
The Inverse Rule states that:
log
b
x
=
1
log
x
b
\log_{b}{x}=\frac{1}{\log_{x}{b}}
lo
g
b
x
=
l
o
g
x
b
1
Examples
1
log
3
2
\frac{1}{\log_{3}{2}}
lo
g
3
2
1
1
Use
Inverse Rule
:
log
b
x
=
1
log
x
b
\log_{b}{x}=\frac{1}{\log_{x}{b}}
lo
g
b
x
=
l
o
g
x
b
1
.
log
2
3
\log_{2}{3}
lo
g
2
3
Done
Decimal Form: 1.584963
log(2,3)
English
Inverse Rule