Precalculus Examples

$\log_{b} (\sqrt{\frac{13}{25}})$

Step 1

Rewrite $\sqrt{\frac{13}{25}}$ as $\frac{\sqrt{13}}{\sqrt{25}}$ .

$\log_{b} (\frac{\sqrt{13}}{\sqrt{25}})$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $25$ as $5^{2}$ .

$\log_{b} (\frac{\sqrt{13}}{\sqrt{5^{2}}})$

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

$\log_{b} (\frac{\sqrt{13}}{5})$