SOLUTION: log3(x^2-1)=1 hint:3 is a subscript solve for x

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Question 79059This question is from textbook Algebra and trigonometry Structure and Method Book 2,
: log3(x^2-1)=1

hint:3 is a subscript
solve for x
 This question is from textbook Algebra and trigonometry Structure and Method Book 2,

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
log3(x^2-1)=1

hint:3 is a subscript
solve for x
x%5E2-1=3%5E1
x%5E2-1=3
x%5E2-1%2B1=3%2B1
x%5E2=4
sqrt%28x%5E2%29=%2B-sqrt%284%29
x=-2 or x=2
Check for extraneous solutions:
log3 ((-2)^1-1)=1
log3 (4-1)=1
log3 3=1
1=1 -2 checks out.
log3 ((2)^2-1)=1
log3 (4-1)=1
log3 (3)=1
1=1 2 checks out too.
The solutions are, x={-2,2}
Happy Calculating!!!!