Question

How do you expand `ln( sqrt(x^4)/sqrt( y^5))`?

Answer 1

`ln (sqrt(x^4)/sqrt(y^5))` `=2lnx-5/2 ln y`

Explanation:

`ln (sqrt(x^4)/sqrt(y^5))`
`=ln(x^4)^(1/2) - ln(y^5)^(1/2)`-> use property `log_n(x/y)=log_b x -log_b y`
`=ln x^2-lny^(5/2)`
`=2lnx-5/2 ln y`-> use property `log_bx^n=n*log_b x`