Find the exact solution, in its simplest form, to the equation 2ln(2x+1) - 10 = 0.

We want to "undo" every step of the equation until we have just x on one side. So first add 10 to each side and then divide both sides by 2 to give ln(2x+1) = 5. Take the exponential of each side to give 2x+1 = e^5. Finally subtract 1 and divide by 2 on each side resulting in x =(e^5 -1)/2.