Precalculus Examples

$\frac{\ln (5)}{\ln (\frac{8}{9}) + \ln (5)}$

Step 1

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

$\frac{\ln (5)}{\ln (\frac{8}{9} \cdot 5)}$

Step 2

Multiply $\frac{8}{9} \cdot 5$ .

Tap for more steps...

Step 2.1

Combine $\frac{8}{9}$ and $5$ .

$\frac{\ln (5)}{\ln (\frac{8 \cdot 5}{9})}$

Step 2.2

Multiply $8$ by $5$ .

$\frac{\ln (5)}{\ln (\frac{40}{9})}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (5)}{\ln (\frac{40}{9})}$

Decimal Form:

$1.07896131 \dots$