SOLUTION: For what value of x is it true that (log x)^3 = 3 log x?

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Question 530537: For what value of x is it true that (log x)^3 = 3 log x?
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For what value of x is it true that
(log x)^3 = 3 log x?
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Factor:
log(x)[(log(x))^2 - 3] = 0
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log(x) = 0 or (log(x))^2 = 3
x = 10^0 or log(x) = sqrt(3)
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x = 1 or x = 10^(sqrt(3))
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x = 1 or x = 53.96
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Cheers,
Stan H.
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