Question

How do you solve `2ln(x+3) + ln(x-2) - (1/2)ln(x-2) = ln(x-2) - lnsqrt( x-2)`?

Answer 1

`x=-2`

Explanation:

`2ln(x+3)+ln(x-2)-1/2ln(x-2)=ln(x-2)-lnsqrt(x-2)`

`=>2ln(x+3)+cancel(ln(x-2))-cancel(lnsqrt(x-2))-cancel(ln(x-2))+cancel(lnsqrt(x-2))=0`

`=>ln(x+3)=0`

`=>x+3=e^0=1`

`:.x=1-3=-2`