Precalculus Examples

$\log_{7} (3^{5}) + \log_{7} (9)$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{7} (3^{5} \cdot 9)$

Step 2

Raise $3$ to the power of $5$ .

$\log_{7} (243 \cdot 9)$

Step 3

Multiply $243$ by $9$ .

$\log_{7} (2187)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log_{7} (2187)$

Decimal Form:

$3.95202523 \dots$