Solve the equation 2log (base 3)(x) - log (base 3)(x+4) = 2

First express as a single logarithm as follows. The number in front of the logarithm remembering log rules can be rewritten as the power of the number in the bracketsSo rewriting the LHS
log3(x2) - log3(x+4)
log3(x2/(x+4))remember inverse log3 is to the power of 3so2 = log3(x2/(x+4)) 32= (x2/(x+4))expanding and solving x2-9x-36=0(x-12)(x+3)=0x=12 as cannot do a negative logarithm of a number

TS
Answered by Theranjit S. Maths tutor

8708 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has equation y = x^3 - 48x. The point A on the curve has x coordinate -4. The point B on the curve has x coordinate - 4 + h. Show that that the gradient of the line AB is h^2 - 12h.


Find the coordinates of the centre of the circle with equation: x^2 + y^2 − 2*x + 14*y = 0


How do you know when to integrate by parts?


Prove the property: log_a(x) + log_a(y) = log_a(xy).


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