Solve for x: log3(x^2-4)-log3(x+2)=2

3 answers

log3(x^2-4)-log3(x+2)=2
log3 [(x^2-4)/x+2)] = 2
log3 [(x+2)(x-2)/(x+2)] = 2
log3 (x-2) = 2
x-2 = 3^2
x = 11
log3 (x^2-4) -log3 (x+2)=2
log3 [(x^2-4)/x+2)] = 2
log3 [(x+2)(x-2)/(x+2)] = 2
log3 (x-2) = 2
x-2 = 3^2
x = 11
Adam, why would you just cut-and-paste my solution and claim it as yours ?

You didn't even bother to fix my error in the 2nd line, where I missed a bracket.