How do you evaluate log_16 4?

4 log 16The value of lo g 4 16 is 2, since 16 can be expressed as 4 2. Therefore, the logarithm simplifies to 2 by applying logarithmic properties. This means 4 must be raised to14 Explanation: Remember that displaystyle{16}={2}^{{4}} : displaystyle{{log}_{{16}}{left({2}rht)}}={{log}_{{16}}{left({16}^{{frac{{1}}{{4}}}}rht)}}=frac{{1}}{{4}}