16. Expand the Expression: Logsqrt [6]((x)/(y))

Name: 16. Expand the Expression: Logsqrt [6]((x)/(y))
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16. Expand the expression: logsqrt [6]((x)/(y))

Jesse Hayes · Accepted Answer

\frac{1}{6}[log(x) - log(y)] Explanation 1. Rewrite the radical as an exponent \sqrt[6]{\frac{x}{y}} = \left(\frac{x}{y}\right)^{1/6} 2. Apply logarithm power rule log\left(\frac{x}{y}\right)^{1/6} = \frac{1}{6}log\left(\frac{x}{y}\right) 3. Apply logarithm quotient rule log\left(\frac{x}{y}\right) = log(x) - log(y)

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16. Expand the expression: logsqrt [6]((x)/(y))

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