Precalculus Examples

$\frac{\ln (\frac{2.3}{2.6})}{24} \cdot 120$

Step 1

Cancel the common factor of $24$ .

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Step 1.1

Divide $2.3$ by $2.6$ .

$\frac{\ln (0.8\overline{846153})}{24} \cdot 120$

Step 1.2

Factor $24$ out of $120$ .

$\frac{\ln (0.8\overline{846153})}{24} \cdot (24 (5))$

Step 1.3

Cancel the common factor.

$\frac{\ln (0.8\overline{846153})}{24} \cdot (24 \cdot 5)$

Step 1.4

Rewrite the expression.

$\ln (0.8\overline{846153}) \cdot 5$

Step 2

Reorder $\ln (0.8\overline{846153})$ and $5$ .

$5 \cdot \ln (0.8\overline{846153})$

Step 3

Simplify $5 \cdot \ln (0.8\overline{846153})$ by moving $5$ inside the logarithm.

$\ln ({0.8\overline{846153}}^{5})$

Step 4

Raise $0.8\overline{846153}$ to the power of $5$ .

$\ln (0.54171696)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\ln (0.54171696)$

Decimal Form:

$- 0.61301161 \dots$