SOLUTION: I am having trouble with the following problem: x>10logx

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Question 410928: I am having trouble with the following problem:
x>10logx

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
x > 10*log(x)

The left side is the function defined by y = x, the red line graphed below
The right side is the function defined by y = 10*log(x), the green curve
graphed below. 

Your problem requires finding the values of x for which the red line
is above the green curve. 
  



Now we can observe from the graph that the two appear to cross at (10,10)
and when we check we find that is the case, because

10 = 10*log(10)

So your inequality is true whenever x > 10

However it is also true when 0 < x < 1.3712886.

There is no algebraic way of getting that value.  It must be
obtained with a graphing calculator.

Solution (0,1.3712886) U (10,}}}

Edwin

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