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

4340 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How to differentiate a bracket raised to a power i.e. chain rule


A football is kicked at 30 m/s at an angle of 20° to the horizontal. It travels towards the goal which is 25 m away. The crossbar of the goal is 2.44 m tall. (A) Does the ball go into the goal, hit the crossbar exactly, or go over the top?


Use calculus to find the set of values of x for which f(x) = x^3 - 9x is an increasing function.


Find the tangent to the curve y = x^2 + 3x + 2 at x = 1


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences