# Solving an exponential inequality with parameters

Can I use Mathematica for solving the inequality given below?

b^(x/2 - 3/2) - b^(ax) - 2c > 0


where b, a, c are the parameters. I want to find out for what range of x it is true. If it is possible, could you guide me on what I should try?

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Try, e.g., Reduce[b^(x/2 - 3/2) - b^(a x) - 2 c > 0 && 0 < x < 100, {a, b, c}] –  ciao Apr 13 '14 at 0:12
Thanks. I will try that –  Omid Apr 13 '14 at 0:16