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

8417 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Earth is being added to a pile so that, when the height of the pile is h metres, its volume is V cubic metres, where V = (h6 + 16) 1 2 − 4.Find the value of dV/dh when h = 2.


How do I integrate tan^2 x?


Differentiate y = ln (3x + 2)


How do I integrate by substitution?


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