Question

Please help. i really dont understand

Answer 1

`(1)/(2) \ln (y - 10) - (9)/(2) \ln (y + 5)`

Explanation:

`\ln \sqrt{((y^2 - 100)(y + 5)^9)/(y + 10)} =`

`= \ln \sqrt{((y + 10)(y - 10)(y + 5)^9)/(y + 10)}`

`= \ln [(y - 10)(y + 5)^9]^{(1)/(2)}`

`= (1)/(2) \ln [(y - 10)(y + 5)^9]`

`= (1)/(2) [\ln (y - 10) - \ln (y + 5)^9]`

`= (1)/(2) [\ln (y - 10) - 9 \ln (y + 5)]`

`= (1)/(2) \ln (y - 10) - (9)/(2) \ln (y + 5)`