Precalculus Examples

$\log_{5} (\frac{z}{25})$

Step 1

Rewrite $\log_{5} (\frac{z}{25})$ as $\log_{5} (z) - \log_{5} (25)$ .

$\log_{5} (z) - \log_{5} (25)$

Step 2

Logarithm base $5$ of $25$ is $2$ .

$\log_{5} (z) - 1 \cdot 2$

Step 3

Multiply $- 1$ by $2$ .

$\log_{5} (z) - 2$