Precalculus Examples

$\log_{6} (z^{4}) - \log_{6} (36^{4})$

Step 1

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

$4 \log_{6} (z) - \log_{6} (36^{4})$

Step 2

Expand $\log_{6} (36^{4})$ by moving $4$ outside the logarithm.

$4 \log_{6} (z) - (4 \log_{6} (36))$

Step 3

Logarithm base $6$ of $36$ is $2$ .

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

Step 4

Multiply $4$ by $2$ .

$4 \log_{6} (z) - 1 \cdot 8$

Step 5

Multiply $- 1$ by $8$ .

$4 \log_{6} (z) - 8$