Precalculus Examples

$\log_{6} (\frac{1}{16})$

Step 1

Rewrite $\log_{6} (\frac{1}{16})$ as $\log_{6} (1) - \log_{6} (16)$ .

$\log_{6} (1) - \log_{6} (16)$

Step 2

Logarithm base $6$ of $1$ is $0$ .

$0 - \log_{6} (16)$

Step 3

Rewrite $\log_{6} (16)$ as $\log_{6} (2^{4})$ .

$0 - \log_{6} (2^{4})$

Step 4

Expand $\log_{6} (2^{4})$ by moving $4$ outside the logarithm.

$0 - (4 \log_{6} (2))$

Step 5

Multiply $4$ by $- 1$ .

$0 - 4 \log_{6} (2)$

Step 6

Subtract $4 \log_{6} (2)$ from $0$ .

$- 4 \log_{6} (2)$