Questions on Logarithm with Solutions

4 log 16 12 Using the color(blue)law of logs color(red)(|bar(ul(color(white)(aa)color(black)(log_b a=nhArra=b^n)color(white)(aa). 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}}

4d result today, The 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 to.