log \frac{z ^(5)x }{ \sqrt{y {}^(3) } }Expand the log fully using the properties of logs

asked Jun 21, 2023 97.8k views

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$log \frac{z ^(5)x }{ \sqrt{y {}^(3) } }$ Expand the log fully using the properties of logs

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$\log \frac{z^5x}{\sqrt[]{y^3}}$

Using the laws of logarithm

$=\log z^5+\log x\text{ - log}\sqrt[]{y^3}$
$\text{.}$

we will apply the next law of logarithms

$=5\log z+\log x-\log y^{(3)/(2)}$
$=5\log z+\log x-(3)/(2)\log y$

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