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)=(\log_bx)/(\log_ba)`

Then,

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

Hence, the value of given log function is 3.166.