Precalculus Examples

$\frac{- \ln (2)}{\ln (0.72)} \cdot 12$

Step 1

Move the negative in front of the fraction.

$- \frac{\ln (2)}{\ln (0.72)} \cdot 12$

Step 2

Multiply $- \frac{\ln (2)}{\ln (0.72)} \cdot 12$ .

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Step 2.1

Multiply $12$ by $- 1$ .

$- 12 \frac{\ln (2)}{\ln (0.72)}$

Step 2.2

Combine $- 12$ and $\frac{\ln (2)}{\ln (0.72)}$ .

$\frac{- 12 \ln (2)}{\ln (0.72)}$

Step 2.3

Simplify $- 12 \ln (2)$ by moving $12$ inside the logarithm.

$\frac{- \ln (2^{12})}{\ln (0.72)}$

Step 3

Raise $2$ to the power of $12$ .

$\frac{- \ln (4096)}{\ln (0.72)}$

Step 4

Move the negative in front of the fraction.

$- \frac{\ln (4096)}{\ln (0.72)}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{\ln (4096)}{\ln (0.72)}$

Decimal Form:

$25.32013147 \dots$