Precalculus Examples

$\log_{p} (42)$

Step 1

Rewrite $\log_{p} (42)$ as $\log_{p} (2 \cdot 3 \cdot 7)$ .

$\log_{p} (2 \cdot 3 \cdot 7)$

Step 2

Rewrite $\log_{p} (2 \cdot 3 \cdot 7)$ as $\log_{p} (2 \cdot 3) + \log_{p} (7)$ .

$\log_{p} (2 \cdot 3) + \log_{p} (7)$

Step 3

Rewrite $\log_{p} (2 \cdot 3)$ as $\log_{p} (2) + \log_{p} (3)$ .

$\log_{p} (2) + \log_{p} (3) + \log_{p} (7)$