4 log 16Here is the answer to questions like: Log base 16 of 4 or what is the base 16 log of 4? Use our | Log16 calculator to find the logarithm of any positive number for any number base you enter.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}}