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

Question

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

Answer 1

`\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`