Precalculus Examples

$\frac{\log (3) \cdot 37}{14}$

Step 1

Simplify the numerator.

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Step 1.1

Reorder $\log (3)$ and $37$ .

$\frac{37 \cdot \log (3)}{14}$

Step 1.2

Simplify $37 \cdot \log (3)$ by moving $37$ inside the logarithm.

$\frac{\log (3^{37})}{14}$

Step 2

Raise $3$ to the power of $37$ .

$\frac{\log (450283905890997000)}{14}$

Step 3

Rewrite $\frac{\log (450283905890997000)}{14}$ as $\frac{1}{14} \log (450283905890997000)$ .

$\frac{1}{14} \log (450283905890997000)$

Step 4

Simplify $\frac{1}{14} \log (450283905890997000)$ by moving $\frac{1}{14}$ inside the logarithm.

$\log (450283905890997000^{\frac{1}{14}})$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log (450283905890997000^{\frac{1}{14}})$

Decimal Form:

$1.26096331 \dots$