# SOLUTION: What is the inverse function of f(x)= 3^(x-1) -2 I thought I would get x= 3^y-1 -2 then x+2 =3^y-1 then logs but I am confused

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: What is the inverse function of f(x)= 3^(x-1) -2 I thought I would get x= 3^y-1 -2 then x+2 =3^y-1 then logs but I am confused      Log On

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 Click here to see ALL problems on logarithm Question 634750: What is the inverse function of f(x)= 3^(x-1) -2 I thought I would get x= 3^y-1 -2 then x+2 =3^y-1 then logs but I am confusedAnswer by lwsshak3(6491)   (Show Source): You can put this solution on YOUR website!What is the inverse function of f(x)= 3^(x-1) -2 y= 3^(x-1) -2 to find the inverse, interchange x and y, then solve for y .. x=3^(y-1)-2 x+2=3^(y-1) take log of both sides log(x+2)=(y-1)log3=ylog3-log3 log(x+2)+log3=ylog3 Inverse,y^-1=(log(x+2)+log3)/log3