Precalculus Examples

$\frac{3 \ln (16) - 12}{3 - 4 \ln (16)}$

Step 1

Simplify the numerator.

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Step 1.1

Simplify $3 \ln (16)$ by moving $3$ inside the logarithm.

$\frac{\ln (16^{3}) - 12}{3 - 4 \ln (16)}$

Step 1.2

Raise $16$ to the power of $3$ .

$\frac{\ln (4096) - 12}{3 - 4 \ln (16)}$

Step 2

Simplify the denominator.

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Step 2.1

Simplify $- 4 \ln (16)$ by moving $4$ inside the logarithm.

$\frac{\ln (4096) - 12}{3 - \ln (16^{4})}$

Step 2.2

Raise $16$ to the power of $4$ .

$\frac{\ln (4096) - 12}{3 - \ln (65536)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (4096) - 12}{3 - \ln (65536)}$

Decimal Form:

$0.45513872 \dots$