SOLUTION: what is the real value of x in the equation log2 24-log 2 3 = log5 x?

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Question 173762: what is the real value of x in the equation log2 24-log 2 3 = log5 x?
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the real value of x in the equation log2 24-log 2 3 = log5 x
log2 (24/3) = log5 (x)
log(8)/log(2) = log(x)/log(5)
log(x) = [log(5)][3]
log(x) = log(5^3)
x = 5^3 = 125
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Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
what is the real value of x in the equation log2 24-log 2 3 = log5 x?
log2 24-log 2 3 = log5 x
log%282%2C24%29+-+log%282%2C3%29+=+log%285%2Cx%29
log%282%2C24%2F3%29+=+log%285%2Cx%29
log%282%2C8%29+=+log%285%2Cx%29
3+=+log%285%2Cx%29
x = 5^3
x = 125