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

4487 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate the function f(x) = 1/(4x-1)


Given y = x^3 + 4x + 1, find the value of dy/dx when x=3


Can you explain the sum of 1 to 100?


A curve has the equation y = (1/3)x^3 + 4x^2 + 12x +3. Find the coordinates of each turning point and determine their nature.


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