Precalculus Examples

$\log_{4} (\frac{9}{5}) + \log_{4} (5)$

Step 1

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

$\log_{4} (\frac{9}{5} \cdot 5)$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Cancel the common factor.

$\log_{4} (\frac{9}{5} \cdot 5)$

Step 2.2

Rewrite the expression.

$\log_{4} (9)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{4} (9)$

Decimal Form:

$1.58496250 \dots$