Question

How do you use the Change of Base Formula and a calculator to evaluate `log_pi (sqrt{2})`?

Answer 1

Take the log of the argument and divide by the log of the base.

`log_b a = log a / log b = ln a / ln b`

`log_pi sqrt2 = ln2^("1/2") / (lnpi) = (1/2ln 2) / ln pi = ln2/(2lnpi)`