How do you evaluate log_16 57.2?

1 Answer

1.4594858104727568

Explanation:

Applying the logarithms formula, \log_{a}b=\frac{\log_{10}a}{\log_{10} b}

\log_{16}57.2

=\frac{\log_{10}57.2}{\log_{10}16}

=\frac{\log_{10}57.2}{4\log_{10}2}

=\frac{1.757396028793024}{1.2041199826559246}

=1.4594858104727568