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

8648 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A circle has equation x^2 + y^2 - 8x - 10y + 5 = 0, find its centre and radius


Integrate tan(x)^2 with respect to x


Determine the coordinates of all the stationary points of the function f(x) = (1/3)*x^3+x^2-3*x+1 and state whether they are a maximum or a minimum.


Let R denote the region bounded by the curve y=x^3 and the lines x=0 and x=4. Find the volume generated when R is rotated 360 degrees about the x axis.


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