Precalculus Examples

$\log_{a} (245)$

Step 1

Rewrite $\log_{a} (245)$ as $\log_{a} (5 \cdot 7^{2})$ .

$\log_{a} (5 \cdot 7^{2})$

Step 2

Rewrite $\log_{a} (5 \cdot 7^{2})$ as $\log_{a} (5) + \log_{a} (7^{2})$ .

$\log_{a} (5) + \log_{a} (7^{2})$

Step 3

Expand $\log_{a} (7^{2})$ by moving $2$ outside the logarithm.

$\log_{a} (5) + 2 \log_{a} (7)$