What is 4 in exponents?

Answer 1

4 = 4^1 which means 1 is the exponent. Note that the exponent gives the logarithm in base 4, which is simply the power you raise the base (4) to produce a number.

Also notice that 4 is a perfect square since 2^2 = 4, but that would mean that 4 log 2 = 2 (base here is 2, not 4).