# Math Help - Variables in Exponents

1. ## Variables in Exponents

I've been having problems with this equation:

$x+3^x<4$

I know the answer but not a non-graphical way to solve it. The best I can get is

$x

but can't seem to move all x to one side. Help would be appreciated!

2. Originally Posted by questrian
I've been having problems with this equation:

$x+3^x<4$

I know the answer but not a non-graphical way to solve it. The best I can get is

$x

but can't seem to move all x to one side. Help would be appreciated!
you will not be able to use elementary algebraic techniques to solve this inequality, however, note (by observation) that if $x = 1$ , $x + 3^x = 4$

it should be fairly obvious that the solution set for the given inequality is $x < 1$