Precalculus Examples

$\frac{\ln (\frac{24000}{19000})}{4 \ln (1.026525)}$

Step 1

Cancel the common factor of $24000$ and $19000$ .

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Factor $1000$ out of $24000$ .

$\frac{\ln (\frac{1000 (24)}{19000})}{4 \ln (1.026525)}$

Cancel the common factors.

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Factor $1000$ out of $19000$ .

$\frac{\ln (\frac{1000 \cdot 24}{1000 \cdot 19})}{4 \ln (1.026525)}$

Cancel the common factor.

$\frac{\ln (\frac{1000 \cdot 24}{1000 \cdot 19})}{4 \ln (1.026525)}$

Rewrite the expression.

$\frac{\ln (\frac{24}{19})}{4 \ln (1.026525)}$

Step 2

Simplify $4 \ln (1.026525)$ by moving $4$ inside the logarithm.

$\frac{\ln (\frac{24}{19})}{\ln ({1.026525}^{4})}$

Step 3

Raise $1.026525$ to the power of $4$ .

$\frac{\ln (\frac{24}{19})}{\ln (1.11039659)}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (\frac{24}{19})}{\ln (1.11039659)}$

Decimal Form:

$2.23091092 \dots$