SOLUTION:
Algebra.Com
Question 1038181:
Found 2 solutions by stanbon, masinde1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(2logx)=x/25
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log(x) = (x/50)
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Graph the left side and the right side on
the same set of axes. Find their point
of intersection.
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Solution: x = 100
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Cheers,
Stan H.
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Answer by masinde1(2) (Show Source): You can put this solution on YOUR website!
(2logx)=x/25
Soln apply log both sides log2logx=log(x/25)
log2logx=logx-log25. But 25=5^2
log2logx=logx-log5^2
log2logx=logx-2log5
log2logx-logx=-2log5
logx (log2-1)=-2log5
Recall, 1=log10,,,,, then
logx(log2-log10)=2log5^-1
logx[log(2/10)=2log5^-1
logx[log(1/5)=2log5^-1
Reciprocal of 1/5=5^-1
Therefore.... logx(log5^-1)/(log5^-1)=2(log5^-1)/(log5^-1)
logx=2
Write in exponential form 10^2=x.
Therefore x=100.