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Question 1038181:
Found 2 solutions by stanbon, masinde1:
Answer by stanbon(75887) About Me  (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) About Me  (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.