Find values of y such that: log2(11y–3)–log2(3) –2log2(y) = 1

NB.: Treat all log as log2 for purpose of formatting log(x) - log(z) = log(x/z) alog(b) = log(b^a) log((11y - 3)/3) - log(y^2) = 1 log((11y - 3)/3y^2) = 1 11y - 3 / 3y^2 = 2^1 11y - 3 = 6y^2 6y^2 - 11y + 3 = 0 (3y - 1) (2y - 3) = 0 y = 1/3 or 1.5

SA
Answered by Shrinivas A. Maths tutor

5664 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve C has equation y=(2x-3)^5. Find the equation of the normal of this curve at point P with y coordinate -32.


What is the product rule in differentiation?


What is the difference between mutually exclusive and indepedent events?


Find dy/dx of y = a^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:

© 2026 by IXL Learning