If N is a strictly positive number (N cannot be zero and N cannot be negative)
then the logarithm of N to a given base b is the power p to which the base has to be raised to give the number.
we write log(N) = p implies and is implied by (N) = (b)^p
b
Therefore log 256=4 written in the exponential form is 256 =(4)^4
4