Expand log base 7 of 5 square root of x

$\log_{7} (5 \sqrt{x})$

Rewrite $\log_{7} (5 \sqrt{x})$ as $\log_{7} (5) + \log_{7} (\sqrt{x})$ .

$\log_{7} (5) + \log_{7} (\sqrt{x})$

Rewrite $\sqrt{x}$ as $x^{\frac{1}{2}}$ .

$\log_{7} (5) + \log_{7} (x^{\frac{1}{2}})$

Expand $\log_{7} (x^{\frac{1}{2}})$ by moving $\frac{1}{2}$ outside the logarithm.

$\log_{7} (5) + \frac{1}{2} \log_{7} (x)$

Combine $\frac{1}{2}$ and $\log_{7} (x)$ .

$\log_{7} (5) + \frac{\log_{7} (x)}{2}$

Expand log base 7 of 5 square root of x

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