SOLUTION: Solve for x: 5^(x+3) = 8^(2x-1)

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Question 355059: Solve for x:
5^(x+3) = 8^(2x-1)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
5%5E%28x%2B3%29+=+8%5E%282x-1%29.
Take log of both sides:
%28x%2B3%29%2Alog5+=+%282x-1%29%2Alog8
x%2Alog5%2B3log5+=+2x%2Alog8-log8
x%2Alog5+-+2x%2Alog8+=+-log8-3log5
%28log5-2log8%29%2Ax+=+-log8-3log5
x+=+%28-log8-3log5%29%2F%28log5-2log8%29