4 log 16This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.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}}