Precalculus Examples

$\frac{\ln (e)}{\ln (15)}$

Step 1

The natural logarithm of $e$ is $1$ .

$\frac{1}{\ln (15)}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $\ln (15)$ as $\ln (3 (5))$ .

$\frac{1}{\ln (3 (5))}$

Step 2.2

Rewrite $\ln (3 (5))$ as $\ln (3) + \ln (5)$ .

$\frac{1}{\ln (3) + \ln (5)}$

$\frac{1}{\ln (3) + \ln (5)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{\ln (3) + \ln (5)}$

Decimal Form:

$0.36926937 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$