SOLUTION: if (a/b)^(x-1)=(b/a)^(x-3) then x=?

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Question 742532: if (a/b)^(x-1)=(b/a)^(x-3) then x=?
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%28a%2Fb%29%5E%28x-1%29=%28b%2Fa%29%5E%28x-3%29.............. since %28b%2Fa%29%5E%28x-3%29=%28a%2Fb%29%5E%28-%28x-3%29%29

%28a%2Fb%29%5E%28x-1%29=%28a%2Fb%29%5E%28-%28x-3%29%29

%28x-1%29=-%28x-3%29

x-1=-x%2B3

x%2Bx=1%2B3

2x=4
x=2




Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
if (a/b)^(x-1)=(b/a)^(x-3)
----------
(a/b)^(x-1)=(a/b)^(3-x)
x-1 = 3-x
2x = 4
x = 2
---------
a <> 0
b <> 0