# How do you solve 23^x=6?

$x = 0.5714$
${23}^{x} = 6$ means $x = {\log}_{23} 6$
As ${\log}_{b} a = \log \frac{a}{\log} b$
$x = \log \frac{6}{\log} 23 = \frac{0.778151}{1.361728} = 0.5714$