Question

Solve the equation for x. (find an exact answer without a calculator) e^(4x+2)-4=0.

Answer 1

e^(4x+2)-4=0
e^(4x+2)=4
Ln (e^(4x+2))=ln 4
(4x+2)ln e=ln 4
4x+2=ln 4
4x=ln (4)-2
x=(ln (4) -2)/4

Answer: x=(ln (4)-2)/4