SOLUTION: Express irrational solutions in exact form as a decimal rounded to three decimal places log2x+log6x=3

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Question 601547: Express irrational solutions in exact form as a decimal rounded to three decimal places
log2x+log6x=3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log2(x) + log6(x) = 3
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log(x)/log(2) + log(x)/log(6) = 3
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Factor out the log(x):
log(x)[1/log(2) + 1/log(6)] = 3
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Simplify:
log(x)[(log(6)+log(2))/log(6)*log(2] = 3
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log(x)[4.6070] = 3
log(x) = 3/4.6070
log(x) = 0.6512
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x = 10^0.6512
x = 4.4790
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Cheers,
Stan H.
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