Precalculus Examples

$\log_{6} ({(5)}^{4}) + \log_{6} (25)$

Step 1

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

$\log_{6} ({(5)}^{4} \cdot 25)$

Step 2

Raise $5$ to the power of $4$ .

$\log_{6} (625 \cdot 25)$

Step 3

Multiply $625$ by $25$ .

$\log_{6} (15625)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log_{6} (15625)$

Decimal Form:

$5.38946641 \dots$