how do i change the base of log?

how do i change the base of log?

Change of base

The logarithm $log_b(x)$ can be computed from the logarithms of $x$ and $b$ with respect to an arbitrary base $k$ using the following formula:
$\qquad {\displaystyle \log _{b}(x)={\frac {\log _{k}(x)}{\log _{k}(b)}}.\,}$ ,

Typical scientific calculators calculate the logarithms to bases 10 and $e$.
Logarithms with respect to any base b can be determined using either of these two logarithms by the previous formula:
$\qquad {\displaystyle \log _{b}(x)={\frac {\log _{10}(x)}{\log _{10}(b)}}={\frac {\log _{e}(x)}{\log _{e}(b)}}.\,}$

Given a number $x$ and its logarithm $log_b(x)$ to an unknown base $b$, the base is given by:
$\qquad {\displaystyle b=x^{\frac {1}{\log _{b}(x)}}.}$