How do you use the Change of Base Formula and a calculator to evaluate ${log}_{π} (\sqrt{2})$ $log_pi (sqrt{2})$ ?

Question

How do you use the Change of Base Formula and a calculator to evaluate ${log}_{π} (\sqrt{2})$ $log_pi (sqrt{2})$ ?

1 Answer

Impact of this question

1563 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-11T18:43:05

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

${log}_{b} a = \frac{log a}{log b} = \frac{ln a}{ln b}$ $log_b a = log a / log b = ln a / ln b$

${log}_{π} \sqrt{2} = \frac{{ln 2}^{1/2}}{ln π} = \frac{\frac{1}{2} ln 2}{ln π} = \frac{ln 2}{2 ln π}$ $log_pi sqrt2 = ln2^("1/2") / (lnpi) = (1/2ln 2) / ln pi = ln2/(2lnpi)$

Science

Math

Humanities

... and beyond

How do you use the Change of Base Formula and a calculator to evaluate ${log}_{π} (\sqrt{2})$ $log_pi (sqrt{2})$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

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

1 Answer

Related questions

Impact of this question

How do you use the Change of Base Formula and a calculator to evaluate ${log}_{π} (\sqrt{2})$ $log_pi (sqrt{2})$ ?