Precalculus Examples

$\frac{\ln (\frac{1}{2} \cdot 9)}{\ln ({(3 (5))}^{2})}$

Step 1

Combine $\frac{1}{2}$ and $9$ .

$\frac{\ln (\frac{9}{2})}{\ln ({(3 (5))}^{2})}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $3$ by $5$ .

$\frac{\ln (\frac{9}{2})}{\ln (15^{2})}$

Step 2.2

Raise $15$ to the power of $2$ .

$\frac{\ln (\frac{9}{2})}{\ln (225)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (\frac{9}{2})}{\ln (225)}$

Decimal Form:

$0.27770485 \dots$