Precalculus Examples

$\log_{4} (\ln (\frac{115}{\ln (4)}))$

Step 1

Rewrite $\ln (4)$ as $\ln (2^{2})$ .

$\log_{4} (\ln (\frac{115}{\ln (2^{2})}))$

Step 2

Expand $\ln (2^{2})$ by moving $2$ outside the logarithm.

$\log_{4} (\ln (\frac{115}{2 \ln (2)}))$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{4} (\ln (\frac{115}{2 \ln (2)}))$

Decimal Form:

$1.07174534 \dots$