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
Answered by Alex W. Further Mathematics tutor

8088 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Given that x = i is a solution of 2x^3 + 3x^2 = -2x + -3, find all the possible solutions


Prove by induction the sum of n consecutive positive integers is of the form n(n+1)/2.


Given sinhx = 0.5(e^x - e^-x), express its inverse, arcsinhx in terms of x.


Does the following matrix A = (2 2 // 3 9) (upper row then lower row) have an inverse? If the matrix A^2 is applied as a transformation to a triangle T, by what factor will the area of the triangle change under the transformation?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning