Is there a seperate something in front logarithm that is raising a base to a power?

Question

I am trying to solve a problem with the following form

$$e^{\displaystyle A\log(x)}$$

$e^{\log(x)}$ is simply $x$, but how do I go about separating the $A$?

Answer 1

Use one of the rules for logarithms to move the $A$. In particular, the rule you want is $A\log x = \log(x^A)$.