SOLUTION: log (base 5) x + log (base 3) x = 1 the answer is 1.921, but i want to know how they got it.

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Question 516128: log (base 5) x + log (base 3) x = 1
the answer is 1.921, but i want to know how they got it.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log (base 5) x + log (base 3) x = 1
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log(x)/log(5) + log(x)/log(3) = 1
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Multiply thru by log(5)*log(3) to get:
log(3)*log(x) + log(5)log(x) = log(5)*log(3)
log(x)[log(3)+log(5)] = log(5)*log(3)
log(x)*log(15) = log(5)*log(3)
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log(x) = [log(5)*log(3)]/log(15)
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log(x) = 0.2836
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x = 10^0.2836
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x = 1.9211
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Cheers,
Stan H.
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