3e3 Solutiona 132e2x 31 132e2x 133113 2e2x 18 122e2x 1218 e2

Solution

a)

13+2e^-2x =31

=>13+2e^-2x -13=31-13

=>2e^-2x =18

=>(1_/2)*2e^-2x =(1_/2)*18

=>e^-2x =9

=>(1_/e^2x)=9

=>e^2x=(1_/9)

=>2x=ln(1_/9)

=>x=(1_/2)ln(1_/9) or  x=-0.5ln(9)