Precalculus Examples

$\frac{1}{3} \cdot (\log_{c} (x + 4) \log_{c} (y - 2) \log_{c} (x))$

Step 1

Multiply $\frac{1}{3} (\log_{c} (x + 4) \log_{c} (y - 2) \log_{c} (x))$ .

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Step 1.1

Reorder $\log_{c} (x + 4)$ and $\frac{1}{3}$ .

$\frac{1}{3} \log_{c} (x + 4) (\log_{c} (y - 2) \log_{c} (x))$

Step 1.2

Simplify $\frac{1}{3} \log_{c} (x + 4)$ by moving $\frac{1}{3}$ inside the logarithm.

$\log_{c} ({(x + 4)}^{\frac{1}{3}}) (\log_{c} (y - 2) \log_{c} (x))$

Step 2

Reorder factors in $\log_{c} ({(x + 4)}^{\frac{1}{3}}) (\log_{c} (y - 2) \log_{c} (x))$ .

$\log_{c} ({(x + 4)}^{\frac{1}{3}}) \log_{c} (y - 2) \log_{c} (x)$