Precalculus Examples

$\log_{7} (4^{3}) + \log_{7} (16)$

Step 1

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

$\log_{7} (4^{3} \cdot 16)$

Step 2

Raise $4$ to the power of $3$ .

$\log_{7} (64 \cdot 16)$

Step 3

Multiply $64$ by $16$ .

$\log_{7} (1024)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log_{7} (1024)$

Decimal Form:

$3.56207187 \dots$