Question

Evaluate the following expression. log4^16

Answer 1

log4^16 = log4^(4*4) = log4^(4^2) = 2*log4^4 = 2*1 = 2

Answer 2

This expresses the base-10/common logarithm of positive real number 4^16,

since nothing specific is defined on its base.

Using a calculator equipped with common logarithm functions, we have

log4^16 = 16 x log(4) (= 16 x 0.6020599913…) = 9.632959861… ≈ 9.633

or using the x^n key for 4^16, we have

log(4^16) = 9.632959861… ≈ 9.633