SOLUTION: (logx^2 + logx^3)/log50x=3

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Question 1067946: (logx^2 + logx^3)/log50x=3
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(logx^2 + logx^3)/log50x=3
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log(x^5)/log(50x) = 3
log(x^5) = 3log(50x) = log(125000x^3)
x^5 = 125000x^3
x = 0 --> log(0) not allowed
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x^2 = 125000
x = sqrt(125000) --- positive root only