I want to solve the exponential inequality $$8^x +18^x -2\cdot 27^x>0.$$ I tried
Solve[8^x + 18^x - 2*27^x > 0, x]
and
Reduce[8^x + 18^x - 2*27^x > 0, x]
How do I tell Mathematica to do that?
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asked Oct 27, 2012 at 2:49
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$\begingroup$ "I tried...", but you don't say what's wrong with the outcome. $\endgroup$– Federico RussoCommented Jan 15, 2013 at 8:40
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1 Answer
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Reduce[8^x + 18^x - 2 27^x > 0, x, Reals]
(*
x<0
*)
Verifying
Plot[8^x + 18^x - 2*27^x, {x, -6, 3/2}]
answered Oct 27, 2012 at 2:56