SOLUTION: solve log3(x) + log5(4x)=2

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Question 638472: solve log3(x) + log5(4x)=2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve log3(x) + log5(4x)=2
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log%283%2Cx%29+%2B+log%285%2C4x%29+=+2
log%283%2Cx%29+%2B+log%285%2Cx%29+%2B+log%284%29+=+2
log%283%2Cx%29+%2B+log%285%2Cx%29+=+2+-+log%284%29
log%28x%29%2Flog%283%29+%2B+log%28x%29%2Flog%285%29+=+2+-+log%284%29
log%28x%29%2A%281%2Flog%283%29+%2B+1%2Flog%285%29%29+=+2+-+log%284%29

log%28x%29+=+%282-log%284%29%29%28log%283%29%2Alog%285%29%29%2F%28log%283%29%2Blog%285%29%29
log%28x%29+=+%28log%28100%29-log%284%29%29%28log%283%29%2Alog%285%29%29%2Flog%2815%29%29
log%28x%29+=+%28log%2825%29%2Alog%283%29%2Alog%285%29%29%2Flog%2815%29%29
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x = 10^RHS
x =~2.4911568