Find the exact solution to ln(2y+5) = 2 + ln(4-y)

Solution is y = 4e2 - 5 /2+e2
By applying log laws we can reach the following:
ln(2y+5/4-y) = 2
Given that ln x = log e x :e2 = 2y+5/4-y
Solve linearly :
2y+5 = e2(4-y)
2y+5 = 4e2 - ye2
2y + ye2= 4e2 -5
y(2 + e2) = 4e2 - 5
y = 4e2 - 5 /2+e2

MH
Answered by Michael H. Maths tutor

8552 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate 1/(5-2x) for 3≤x≤4


how do I differentiate?


A cricket player is capable of throwing a ball at velocity v. Neglecting air resistance, what angle from the horizontal should they throw at to achieve maximum distance before contact with the ground? How far is that distance?


Integrate ln(x/7) with respect to 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