10. expand the logarithmic expression. $log_{7}sqrt{x} = \\square$ | Sovi AI

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$10. expand the logarithmic expression. $log_{7}sqrt{x} = \\square$$

Question

expand the logarithmic expression. $log_{7}sqrt{x} = \square$

Explanation:

Step1: Rewrite root as exponent

$\log_{5}\sqrt{x} = \log_{5}x^{\frac{1}{2}}$

Step2: Apply logarithm power rule

$\log_{5}x^{\frac{1}{2}} = \frac{1}{2}\log_{5}x$

Answer:

$\frac{1}{2}\log_{5}x$