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

asked Jun 21, 2023 97.8k views

4 votes

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

5.0k points

Please log in or register to add a comment.

1 vote

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

Using the laws of logarithm

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

we will apply the next law of logarithms

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

4.1k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.6m questions

6.0m answers