How do you condense lny-2ln(x-2)+3 ?

1 Answer
Apr 2, 2016

ln ((e^3y)/(x-2)^2)

Explanation:

Exp and ln are inverse functions.. ln (e^m)=m.
So, 3 = ln (e^3).
-2 ln (x-2)=ln((x-2)^(-2)).
Use lna + ln b = ln c = ln (abc)
The given expression condenses to ln ((e^3y)/(x-2)^2)