Precalculus Examples

$\log_{6} (9) + \log_{6} (4)$

Step 1

Rewrite $\log_{6} (9)$ as $\log_{6} (3^{2})$ .

$\log_{6} (3^{2}) + \log_{6} (4)$

Step 2

Expand $\log_{6} (3^{2})$ by moving $2$ outside the logarithm.

$2 \log_{6} (3) + \log_{6} (4)$

Step 3

Rewrite $\log_{6} (4)$ as $\log_{6} (2^{2})$ .

$2 \log_{6} (3) + \log_{6} (2^{2})$

Step 4

Expand $\log_{6} (2^{2})$ by moving $2$ outside the logarithm.

$2 \log_{6} (3) + 2 \log_{6} (2)$