Precalculus Examples

$\frac{\ln (9)}{\ln (\frac{7}{4}) + \ln (9)}$

Step 1

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

$\frac{\ln (9)}{\ln (\frac{7}{4} \cdot 9)}$

Step 2

Multiply $\frac{7}{4} \cdot 9$ .

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Step 2.1

Combine $\frac{7}{4}$ and $9$ .

$\frac{\ln (9)}{\ln (\frac{7 \cdot 9}{4})}$

Step 2.2

Multiply $7$ by $9$ .

$\frac{\ln (9)}{\ln (\frac{63}{4})}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (9)}{\ln (\frac{63}{4})}$

Decimal Form:

$0.79700827 \dots$