You can put this solution on YOUR website! log3 (x2 − 4) − log3(x + 2) = 2
how would i solve this logarithm equation?
I will assume you meant x^2 instead of x2
..
log3 (x^2− 4) − log3(x + 2) = 2
convert to single log with division rule
=log3(x^2-4)/(x+2)=2
convert to exponential form:(base(3) raised to log of number (2)=number ((x^2-4)/(x+2))
3^2=(x^2-4)/(x+2)=9
(x+2)(x-2)/(x+2)=9
cancel out (x+2)
x-2=9
x=11
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