4 log 16Logarithm calculator to generate step by step calculation for how to find what is log base 4 of 16? Logarithm base 4 of 16 is 2. log 4 (16)14 Explanation: Remember that displaystyle{16}={2}^{{4}} : displaystyle{{log}_{{16}}{left({2}rht)}}={{log}_{{16}}{left({16}^{{frac{{1}}{{4}}}}rht)}}=frac{{1}}{{4}}