ln(2x^2 + 9x – 5) = 1 + ln(x^2 + 2x – 15). Express x in terms of e

ln(2x2+ 9x – 5) = 1 + ln(x2 + 2x – 15)ln(2x2+ 9x – 5) – ln(x2 + 2x – 15)= 1 ln((2x2+ 9x – 5)/(x2 + 2x – 15)) = 1(2x2+ 9x – 5)/(x2 + 2x – 15) = e(2x – 1)(x + 5)/(x + 5)(x – 3) = e (2x – 1)/(x – 3) = e2x – 1 = e(x – 3)2x – 1 = ex – 3e2x – ex = 1 – 3ex(2 – e) = 1 – 3ex = (1 – 3e)/(2 – e)

SF
Answered by Sylvain F. Maths tutor

4663 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the stationary points of the equation. f(x)=3x^2+4x.


How do you integrate by parts?


Write the complex number Z=1/2+sqrt(3)/2j both as a function involving cos & sin, and as a function involving an exponential.


Prove the identity (sin2x)/(1+(tanx)^2) = 2sinx(cosx)^3


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