SOLUTION: 5^x=3x+4

There is no algebraic way to solve an equation that
contains a variable both as an exponent and also as
a non-exponent. However with a TI-84 you can approximate 
the solution.

Press Y=
Next to \Y1= type the left side 5^X
Next to \Y2= type 3X+4
Press ZOOM
Press 6
See graph
Press 2ND
Press TRACE
Press 5
Press ENTER
Press ENTER
Press ENTER
See           Intersection
              X=-1.291641   <--that's one solution

Press 2ND
Press TRACE
Press 5
Press ENTER
Press ENTER
Press right arrow 10 times
Press ENTER
See           Intersection
              X=1.2793139   <--that's the other solution


Edwin