SOLUTION: 5^(x-2) = 9^(3-x) Solve for x

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Question 82369: 5^(x-2) = 9^(3-x)
Solve for x
Answer by ryanman(19) About Me  (Show Source):
You can put this solution on YOUR website!
5%5E%28x-2%29=3%5E%282%283-x%29%29+
5%5E%28x-2%29=3%5E%286-2x%29
take the Log of both sides and divide , log by log , and x by x
%28x-2%29log5=%286-2x%29log3
so %28x-2%29%2F%286-2x%29+ = log3%2Flog5+
now using the calculator, solve normally
%28x-2%29%2F%286-2x%29+ = 0.68
(0.68)(6-2x) = (x-2)
4.09-1.36x=x-2
x=6.09/2.36
x=2.58