Precalculus Examples

$\frac{e \ln (10)}{2 \ln (e)}$

Step 1

Simplify $2 \ln (e)$ by moving $2$ inside the logarithm.

$\frac{e \ln (10)}{\ln (e^{2})}$

Step 2

Simplify the denominator.

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Step 2.1

Use logarithm rules to move $2$ out of the exponent.

$\frac{e \ln (10)}{2 \ln (e)}$

Step 2.2

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

$\frac{e \ln (10)}{2 \cdot 1}$

Step 2.3

Multiply $2$ by $1$ .

$\frac{e \ln (10)}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{e \ln (10)}{2}$

Decimal Form:

$3.12953760 \dots$