Question

Given log base 3 of 10 =2.1 , log base 3 of 8 = 1.9 , and log base 3 of 7 = 1.8, find log base 3 of 700

Answer 1

For solving this question, you should apply one of properties of log

log of a product is the sum of the

`log_axy=log_ax+log_ay`

Finding

`\begin{gathered} \log _3(700) \\ \log _3\mleft(700\mright)=\log _3\mleft(7\mright)+\log _3\mleft(10^2\mright) \\ \log _3(700)=1.8+2\cdot2.1 \\ \log _3(700)=1.8+4.2 \\ \log _3(700)=6 \\ \log _3(700)\approx6 \end{gathered}`