Precalculus Examples

$\frac{1}{4} \cdot (\log_{c} (x + 5) \log_{c} (y - 4) \log_{c} (x))$

Step 1

Multiply $\frac{1}{4} (\log_{c} (x + 5) \log_{c} (y - 4) \log_{c} (x))$ .

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Step 1.1

Reorder $\log_{c} (x + 5)$ and $\frac{1}{4}$ .

$\frac{1}{4} \log_{c} (x + 5) (\log_{c} (y - 4) \log_{c} (x))$

Step 1.2

Simplify $\frac{1}{4} \log_{c} (x + 5)$ by moving $\frac{1}{4}$ inside the logarithm.

$\log_{c} ({(x + 5)}^{\frac{1}{4}}) (\log_{c} (y - 4) \log_{c} (x))$

Step 2

Reorder factors in $\log_{c} ({(x + 5)}^{\frac{1}{4}}) (\log_{c} (y - 4) \log_{c} (x))$ .

$\log_{c} ({(x + 5)}^{\frac{1}{4}}) \log_{c} (y - 4) \log_{c} (x)$