1. (a) Determine all solutions to the equation e^x = coshx. (b) Hence determine all solutions to the equation 2(x+\ln 2)=\ln \left(e^{2 x}+2+e^{-2 x}\right) Hint: It should be useful to

keep in mind that 4 \cosh ^{2} x=e^{2 x}+2+e^{-2 x}