Question 96811
{{{log(x,9)=-2}}}



{{{9=x^-2}}} Rewrite the equation using this property: {{{log(b,x)=y}}} ===> {{{b^y=x}}}



{{{9=1/x^2}}} Flip the variable with the negative exponent



{{{9x^2=1}}} Multiply both sides by {{{x^2}}}



{{{x^2=1/9}}} Divide both sides by 9



{{{x=0+-sqrt(1/9)}}} Take the square root of both sides



So our possible answers are:


{{{x=1/3}}} or  {{{x=-1/3}}} 



However, since a negative log is undefined, the only solution is 



{{{x=1/3}}}