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Change of Base Rule
Reference
> Algebra: Common Logarithms
Description
The Change of Base Rule states that:
log
b
x
=
log
a
x
log
a
b
\log_{b}{x}=\frac{\log_{a}{x}}{\log_{a}{b}}
lo
g
b
x
=
l
o
g
a
b
l
o
g
a
x
Examples
log
b
x
log
b
a
\frac{\log_{b}{x}}{\log_{b}{a}}
lo
g
b
a
lo
g
b
x
1
Use
Change of Base Rule
:
log
b
x
=
log
a
x
log
a
b
\log_{b}{x}=\frac{\log_{a}{x}}{\log_{a}{b}}
lo
g
b
x
=
l
o
g
a
b
l
o
g
a
x
.
log
a
x
\log_{a}{x}
lo
g
a
x
Done
log(a,x)
English
Change of Base Rule