Precalculus Examples

$\frac{5}{7} \cdot (\log (5) (\frac{x}{y}))$

Step 1

Combine $\log (5)$ and $\frac{x}{y}$ .

$\frac{5}{7} \cdot \frac{\log (5) x}{y}$

Step 2

Multiply $\frac{5}{7} \cdot \frac{\log (5) x}{y}$ .

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Step 2.1

Multiply $\frac{5}{7}$ by $\frac{\log (5) x}{y}$ .

$\frac{5 (\log (5) x)}{7 y}$

Step 2.2

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

$\frac{5 \cdot \log (5) x}{7 y}$

Step 2.3

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

$\frac{\log (5^{5}) x}{7 y}$

Step 3

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

$\frac{\log (3125) x}{7 y}$

Step 4

Reorder factors in $\frac{\log (3125) x}{7 y}$ .

$\frac{x \log (3125)}{7 y}$