Expand the Logarithmic Expression log base 16 of 14

$\log_{16} (14)$

Step 1

Rewrite $\log_{16} (14)$ as $\log_{16} (2 (7))$ .

$\log_{16} (2 (7))$

Step 2

Rewrite $\log_{16} (2 (7))$ as $\log_{16} (2) + \log_{16} (7)$ .

$\log_{16} (2) + \log_{16} (7)$

Step 3

Logarithm base $16$ of $2$ is $\frac{1}{4}$ .

$\frac{1}{4} + \log_{16} (7)$