SOLUTION: (1/5)^4x=25^x-6 solve for x

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Question 463034: (1/5)^4x=25^x-6 solve for x
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F5%29%5E%284x%29=25%5E%28x-6%29
<==> 5%5E%28-4x%29+=+5%5E%282%28x-6%29%29
==> -4x = 2(x - 6)
==> -4x = 2x - 12
==> 12 = 6x
==> x = 2.