Precalculus Examples

$\log_{6} (\frac{x}{4})$

Step 1

Rewrite $\log_{6} (\frac{x}{4})$ as $\log_{6} (x) - \log_{6} (4)$ .

$\log_{6} (x) - \log_{6} (4)$

Step 2

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

$\log_{6} (x) - \log_{6} (2^{2})$

Step 3

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

$\log_{6} (x) - (2 \log_{6} (2))$

Step 4

Multiply $2$ by $- 1$ .

$\log_{6} (x) - 2 \log_{6} (2)$