Question 79059
log3(x^2-1)=1
   
hint:3 is a subscript
solve for x
{{{x^2-1=3^1}}}
{{{x^2-1=3}}}
{{{x^2-1+1=3+1}}}
{{{x^2=4}}}
{{{sqrt(x^2)=+-sqrt(4)}}}
{{{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!!!!