SOLUTION: 3(log3(x))^2 + x ^ (log(x)/(log(3))) = 6, solve for x, please

Question 1098209: 3(log3(x))^2 + x ^ (log(x)/(log(3))) = 6, solve for x, please
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3(log3(x))^2 + x ^ (log(x)/(log(3))) = 6, solve for x,
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Let m = log3(x) = log(x)/log(3)
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3m^2 + m - 6 = 0
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m = 1.257334... or m = -1.580667...
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Now, solve for "x"::
log3(x) = 1.257334
x = 3^1.257334 = 3.98016...
or
log3(x) = -1.580667..
x = 3^-1.580667 = 0.1761287...
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Cheers,
Stan H.
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