How do you solve x=log_4 19.5?

Nov 25, 2016

$x = 2.1427$

Explanation:

Use the change of base formula:

${\log}_{b} a = \log \frac{a}{\log} b$

$x = {\log}_{4} 19.5 = \log \frac{19.5}{\log} 4$

Then use a calculator.

$x = 2.1427$