Just need to make a system of equations and substitute.

lamda=L mew=M v=V

f(0)=Le^(2*0)+M*e^(0)-v*0=-1

L+M=-1

f'(x)= 2*L*e^(2x)+M*e^(x) -V

f'(ln(2))=8*L+2*M-V=30

integral(L*e^(2*x)+M*e^(x),x,0,ln(4))

solve(L/2*e^(2*X)+M*e^x),x,0,ln(4))

8L+4M-(L/2+M)=28.5

System of equations:

1*L+1*M+0*V=-1

8*L+2*M-1*V=30

15/2*L+3*M=28.5