Question

Please help with this question thank you.

Answer 1

`ln \frac{4 {y}^(5) }{ {x}^(2) } = ln4 {y}^(5) - ln {x}^(2)`

`= ln4 + ln{y}^(5) - 2lnx`

`= ln4 - 2lnx + 5lny`

Answer 2

B

Explanation:

When using natural logs or base 10 logs, subtraction is used for division and addition for multiplication

ln(4*y^5)

ln(4y^5) = ln4+ lny^5

ln(4y^5) = ln4 + 5*lny

lnx^2

ln x^2 = 2 ln(x)

Combine

ln4 + 5ln(y) / ln (x^2)

ln4 + 5ln(y) - 2 ln(x)

Answer B