Question

$( log_{a}(x) ^{ log_{b}(x) } = x$
Constants a and b are positive real numbers except 1. Leave your answer in terms of a and b. ​

Answer 1

Answer:

$log_{b}(x) ( log_{a}(x) ) = x \\ \\ \frac{1}{ log_{x}(a + b) } = x \\ \\ a + b = {x}^{ \frac{1}{x} }$