Precalculus Examples

$\log_{5} (\frac{7}{a^{3}})$

Step 1

Rewrite $\log_{5} (\frac{7}{a^{3}})$ as $\log_{5} (7) - \log_{5} (a^{3})$ .

$\log_{5} (7) - \log_{5} (a^{3})$

Step 2

Expand $\log_{5} (a^{3})$ by moving $3$ outside the logarithm.

$\log_{5} (7) - (3 \log_{5} (a))$

Step 3

Multiply $3$ by $- 1$ .

$\log_{5} (7) - 3 \log_{5} (a)$