logs . write a simpler number or expression

Question

2^{log4x =} 

Answer 1

Write 2 as 4^(1/2). So the expression is now 4^[ (1/2)log_4 x]. Now do you see how to proceed? There is a rule that says n*log(X) = log(X^n) and another rule that says a^[log_a X] = X.