Precalculus Examples

$\log_{24} (68)$

Step 1

Rewrite $\log_{24} (68)$ as $\log_{24} (2^{2} \cdot 17)$ .

$\log_{24} (2^{2} \cdot 17)$

Step 2

Rewrite $\log_{24} (2^{2} \cdot 17)$ as $\log_{24} (2^{2}) + \log_{24} (17)$ .

$\log_{24} (2^{2}) + \log_{24} (17)$

Step 3

Expand $\log_{24} (2^{2})$ by moving $2$ outside the logarithm.

$2 \log_{24} (2) + \log_{24} (17)$