Precalculus Examples

$\frac{\frac{\log (58)}{\log (8)}}{- 5}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\log (58)}{\log (8)} \cdot \frac{1}{- 5}$

Step 2

Move the negative in front of the fraction.

$\frac{\log (58)}{\log (8)} (- \frac{1}{5})$

Step 3

Multiply $\frac{\log (58)}{\log (8)} (- \frac{1}{5})$ .

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Step 3.1

Multiply $\frac{\log (58)}{\log (8)}$ by $\frac{1}{5}$ .

$- \frac{\log (58)}{\log (8) \cdot 5}$

Step 3.2

Reorder $\log (8)$ and $5$ .

$- \frac{\log (58)}{5 \cdot \log (8)}$

Step 3.3

Simplify $5 \cdot \log (8)$ by moving $5$ inside the logarithm.

$- \frac{\log (58)}{\log (8^{5})}$

Step 4

Raise $8$ to the power of $5$ .

$- \frac{\log (58)}{\log (32768)}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{\log (58)}{\log (32768)}$

Decimal Form:

$- 0.39053206 \dots$