Solve for $x$ \[ \log _{9} x=-2 \] Simplify your answer as much as

Step 1 ：The given equation is \(\log _{9} x=-2\)

Step 2 ：To solve for x, we need to convert it into exponential form. The base of the logarithm becomes the base of the power, the right side of the equation becomes the exponent, and x is the result.

Step 3 ：So, base = 9, exponent = -2, and x = 0.012345679012345678

Step 4 ：The solution to the equation \(\log _{9} x=-2\) is \(x \approx \boxed{0.012345679012345678}\)