Precalculus Examples

$\frac{\ln (\frac{9}{7})}{9 \ln (3)}$

Step 1

Simplify $9 \ln (3)$ by moving $9$ inside the logarithm.

$\frac{\ln (\frac{9}{7})}{\ln (3^{9})}$

Step 2

Raise $3$ to the power of $9$ .

$\frac{\ln (\frac{9}{7})}{\ln (19683)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (\frac{9}{7})}{\ln (19683)}$

Decimal Form:

$0.02541736 \dots$