For what values of x is Cosh^2(x) - Sinh(x) = 5 Give your answer in the form of a logarithm

Substitute Cosh^2(x) = 1 + Sinh^2(x) into the starting equation (This formula should be known)Make 0 the subject 3Sinh^2(x) - Sinh(x) - 2 = 0Substitute u = Sinh(x) and solve for uSubstitute Sinh(x) back in followed by Sinh(x) = (e^x - e^-x)/2 (This formula should be known)Rearrange and form an equation in e^2x and e^x where 0 is the subject of one sideSubstitute u = e^x and solve for uSubstitute e^x back in and take the natural log of each side only taking ln(p) such that p>=1 Finish by writing the chosen answers clearly

LB
Answered by Liam B. Further Mathematics tutor

2289 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

A useful practice: how to determine the number of solutions of a system of linear equations beforehand


A block of mass 50kg resting on a rough surface with a coefficient of friction equal to 1/3. Find the maximum angle at which the surface can be inclined to the horizontal without the block slipping. Give your answer to 3 significant figures


Find the vector equation of the line of intersection of the planes 2x+y-z=4 and 3x+5y+2z=13.


Find the general solution of y'' - 3y' + 2y = 2e^x


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:

© 2025 by IXL Learning