Question

Change of base Use the change base formula to evaluate. round to your final answer to the nearest ten-thousandth

Answer 1

From the given question

There are given that the log

$\log _29$

Now,

From the change of base formula:

$\log _a(x)=\frac{\log_bx}{\log_ba}$

Then,

$\begin{gathered} \log _2(9)=\frac{\log _{10}9}{\log _{10}2} \\ =\frac{0.95}{0.30} \\ =3.166 \end{gathered}$

Hence, the value of given log function is 3.166.