# Math forum

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 help.... :D Options
emmma
 #1 Posted : Monday, February 13, 2012 3:21:17 PM
Rank: Newbie

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Joined: 2/13/2012
Posts: 1

2^3x< 1/4^x

Help, anyone? I have been wondering this for awhile now... Thanks for the help :)

talouv
 #2 Posted : Thursday, March 22, 2012 1:12:04 AM
Rank: Newbie

Groups: Registered Users

Joined: 3/22/2012
Posts: 2

Hi Emma

Your question is when the unequality holds?

I guess that you might have forgotten some parentheses, so that the equation would be

Well, the solutions is that it holds for some x.

You should realize that (1/4)^x is decreasing, while 2^(3x) is increasing. So what we have to do is to solve the equation

You'll se that this holds excatly when x=0 (both are then euqal to 1).

With this in mind, you can conclude that

You could also try to draw the two functions with some kind of graph calculator or with the free Windows program Graph.

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