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(e- e-x) = 2.5(e+ e-x) 7 -0.5e+ 0.5e-x = 2.5e+ 2.5e-x 0 = 3e- 7 + 2e-x 0 = 3e2x - 7ex + 2 0 = (3ex - 1)(ex -2) ex = 1/3   ex =2 x= ln 1/3 x=ln 2

AW

Related Further Mathematics A Level answers

All answers ▸

The point D has polar coordinates ( 6, 3π/4). Find the Cartesian coordinates of D.


Using mathematical induction, prove that n^3+2n is divisible by 3 for all integers n


Find the shortest distance between the lines r = (1, 5, 6) + y(-2, -1, 0) and r = (1, 7, -3) + z(2, 0, 4)


Solve x^3=1 giving all the roots between -pi<=theta<=pi in exponential form