Hey guys. I'm stuck on this - I think I'm missing a trick here:
Solve the equation:
cosh 2x = 3sinh x
giving your answers in the form ln(a+ root b), where a, b are rational numbers. [8 marks]
So far using hyperbolic identities, I have:
0.5 (e^2x + e^-2x) = 1.5 (e^x - e^-x)
which is reduced to:
e^2x - 3e^x + 3e^-x + e^-2x
Don't know where I can go from there, or if I'm attempting this from the right angle.
Thanks.