# SOLUTION: Find the inverse of the function f(x)= -2log3(x-1)+4 The '3' is the base of the logarithm. The coefficient and the '+4' part are throwing me off so if you could show me how to do

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the inverse of the function f(x)= -2log3(x-1)+4 The '3' is the base of the logarithm. The coefficient and the '+4' part are throwing me off so if you could show me how to do       Log On

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 Question 482940: Find the inverse of the function f(x)= -2log3(x-1)+4 The '3' is the base of the logarithm. The coefficient and the '+4' part are throwing me off so if you could show me how to do it with or without the answer I'd appreciate itAnswer by stanbon(57395)   (Show Source): You can put this solution on YOUR website!Find the inverse of the function f(x)= -2log3(x-1)+4 ---- 1st: Interchange x and y x = -2log3(y-1) + 4 ---- 2nd: Solve for "y": -2log3(y-1) = x-4 --- divide by -2 to get: log3(y-1) = (4-x)/2 --- y-1 = 3^(4-x)/2 ---- y = 3^[(4-x)/2] +1 ---- That is the inverse function. ============================== Cheers, Stan H.