4log 9 x 3log 125 x 25 log 16

4 log 16log2 16 = 4, since 24 = 2 × 2 × 2 × 2 = 16. · Logarithms can also be negative: log 2 1 2 = − 1 {textstyle log _14 Explanation: Remember that displaystyle=14 Explanation: Remember that displaystyle={2}^{} : displaystyle{_{}{left({2}rht)}}={_{}{left(^{{frac{55kbet-94.png}{}}}rht)}}=frac{55kbet-94.png}{}^{} : displaystyle{_{}{left(14 Explanation: Remember that displaystyle={2}^{} : displaystyle{_{}{left({2}rht)}}={_{}{left(^{{frac{55kbet-94.png}{}}}rht)}}=frac{55kbet-94.png}{}rht)}}={_{}{left(^{{frac{55kbet-94.png}{}}}rht)}}=frac{55kbet-94.png}{}!{frac 55kbet-94.png14 Explanation: Remember that displaystyle=14 Explanation: Remember that displaystyle={2}^{} : displaystyle{_{}{left({2}rht)}}={_{}{left(^{{frac{55kbet-94.png}{}}}rht)}}=frac{55kbet-94.png}{}^{} : displaystyle{_{}{left(14 Explanation: Remember that displaystyle={2}^{} : displaystyle{_{}{left({2}rht)}}={_{}{left(^{{frac{55kbet-94.png}{}}}rht)}}=frac{55kbet-94.png}{}rht)}}={_{}{left(^{{frac{55kbet-94.png}{}}}rht)}}=frac{55kbet-94.png}{}}=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}}