Precalculus Examples

$\frac{\ln (\frac{6000}{14760})}{\ln (0.81)}$

Step 1

Factor $120$ out of $6000$ .

$\frac{\ln (\frac{120 (50)}{14760})}{\ln (0.81)}$

Step 2

Cancel the common factors.

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Step 2.1

Factor $120$ out of $14760$ .

$\frac{\ln (\frac{120 \cdot 50}{120 \cdot 123})}{\ln (0.81)}$

Step 2.2

Cancel the common factor.

$\frac{\ln (\frac{120 \cdot 50}{120 \cdot 123})}{\ln (0.81)}$

Step 2.3

Rewrite the expression.

$\frac{\ln (\frac{50}{123})}{\ln (0.81)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (\frac{50}{123})}{\ln (0.81)}$

Decimal Form:

$4.27181541 \dots$