Question 80987
2 ln (x-1) > e^(x-4) - 2
This is one equation you cannot solve analytically.
Graph the left side and the right side separately 
and determine over what x-interval the left side
is greater than the right side:
{{{graph(400,300,-10,10,-10,10,2ln(x-1),e^(x-4)-2)}}}
I get 1.3815 < x < 5.622
Comment: This site graphs the left side properly
but does not do a good job with the right side.
Hopefully you have a graphing calculator.
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Cheers,
Stan H.