What is the proper way to rewrite log2 x=4 in exponential form?

Question

A) x^2=4

B) x^4= 2

C) 2^4= x

D) 4^2=x

Answer 1

C) log of x to the base 2 = 4

means 2^4 = x

x= 16

D) is technically also correct as 4^2 also = 16, but it isn't the proper way to rewrite a log

4^2 = 2^2^2 = 2^4 = 2x2x2x2 = 16

A) and B) are clearly false, both as a solution for x and as an improper way to rewrite a log