Write in Exponential Form log base 5x of 2x=4x

$\log_{5 x} (2 x) = 4 x$

For logarithmic equations, $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ such that $x > 0$ , $b > 0$ , and $b \neq 1$ . In this case, $b = 5 x$ , $x = 2 x$ , and $y = 4 x$ .

$b = 5 x$