Question

Use the change of base formula to compute log47.Round your answer to the nearest thousandth.

Answer 1

The given logarithm is:

`\log_47`

The chase of base is given by the following formula:

`\log_ba=(\log_xa)/(\log_xb)=(\ln a)/(\ln b)`

If we replace a=7 and b=4, we obtain:

`\begin{gathered} \log_47=(\ln7)/(\ln4)=(1.946)/(1.386) \\ \\ \log_47=1.404 \end{gathered}`

The answer is 1.404