Precalculus Examples

$\frac{\frac{\ln (2)}{\ln (1.0075)}}{4}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\ln (2)}{\ln (1.0075)} \cdot \frac{1}{4}$

Step 2

Multiply $\frac{\ln (2)}{\ln (1.0075)} \cdot \frac{1}{4}$ .

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Step 2.1

Multiply $\frac{\ln (2)}{\ln (1.0075)}$ by $\frac{1}{4}$ .

$\frac{\ln (2)}{\ln (1.0075) \cdot 4}$

Step 2.2

Reorder $\ln (1.0075)$ and $4$ .

$\frac{\ln (2)}{4 \cdot \ln (1.0075)}$

Step 2.3

Simplify $4 \cdot \ln (1.0075)$ by moving $4$ inside the logarithm.

$\frac{\ln (2)}{\ln ({1.0075}^{4})}$

Step 3

Raise $1.0075$ to the power of $4$ .

$\frac{\ln (2)}{\ln (1.03033919)}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (2)}{\ln (1.03033919)}$

Decimal Form:

$23.19144151 \dots$