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