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

8293 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express [1+4(square root)7] /[ 5+ 2(square root)7] in the form m + n (square root)7 , where m and n are integers.


Describe the set of transformations that will transformthe curve y=x^ to the curve y=x^2 + 4x - 1


Differentiate a^x with respect to x


Prove that cos(4x) = 8(cos^4(x))-8(cos^2(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