## Related questions with answers

Question

Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round the answer to three decimal places.

log$_\pi \sqrt{2}$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Using $\log_b a=\dfrac{\log a}{\log b}$ or the Change-of-Base Formula, then the approximated value of the given expression, $\log_{\pi} \sqrt{2}$, is

$\begin{align*}& \dfrac{\log \sqrt{2}}{\log \pi} \\\\& \approx0.303 .\end{align*}$

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