Solve the following, giving your answers in terms of ln a: 7 sechx - tanhx =5
7sechx - tanhx = 5 7/coshx - sinhx/coshx = 5 7 - sinhx = 5 cosh x 7 - 0.5(ex - e-x) = 2.5(ex + e-x) 7 -0.5ex + 0.5e-x = 2.5ex + 2.5e-x 0 = 3ex - 7 + 2e-x 0 = 3e2x - 7ex + 2 0 = (3ex - 1)(ex -2) ex = 1/3 ex =2 x= ln 1/3 x=ln 2
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