alright, so in this problem i need to solve for A.

y = 4e^x + e^-x

y = Acosh(x + ln2)

now you might already know cosh(x) = (e^x + e^-x) / 2

and with a little fooling around i found that e ^ ln2 = 2

and that cosh(ln(2)) = 1.25 (?)

so i think i have most of the pieces figured out but i cannot put them together. after the substitution where should i go with this?