SOLUTION: Solve the equation {{{(sqrt(2)-sqrt(3))^x+(sqrt(2)+sqrt(3))^x=4}}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the equation {{{(sqrt(2)-sqrt(3))^x+(sqrt(2)+sqrt(3))^x=4}}}      Log On


   

Question 856317: Solve the equation
%28sqrt%282%29-sqrt%283%29%29%5Ex%2B%28sqrt%282%29%2Bsqrt%283%29%29%5Ex=4
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%282%29-sqrt%283%29%29%5Ex%2B%28sqrt%282%29%2Bsqrt%283%29%29%5Ex=4
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x%2Alog%28%28sqrt%282%29-sqrt%283%29%29%29%2A%28sqrt%282%29%2Bsqrt%283%29%29+=+log%284%29
x%2Alog%28%282+-+3%29%29+=+log%284%29
--> log of a negative --> no solution