Log3(x2+2x+2)=0 what is the answer?

2 answers

if log3 (a) = 0
then
3^[log3(a)]= a = 3^0 = 1
so
x^2 + 2 x + 2 = 1
x^2 + 2 x + 1 = 0
(x+1)(x+1) = 0
x = -1
X^2+2x+2=1
X^2+2x+1=0
(X+1)(x+1)=0
X=-1