Convert to an exponential equation. \[ \log _{3} 9=2 \] Complete the equivalent exponential equation. \[ =9 \] (Type your answer using exponential notation. Do not simplify.)

Step 1 ：Convert the given logarithmic equation \(\log _{3} 9=2\) to an exponential equation.

Step 2 ：Remember that the base of the logarithm becomes the base of the exponential, the result of the logarithm becomes the exponent, and the number inside the logarithm becomes the result of the exponential.

Step 3 ：In this case, the base is 3, the result of the logarithm is 2, and the number inside the logarithm is 9.

Step 4 ：So, the equivalent exponential equation would be 3 raised to the power of 2 equals 9.

Step 5 ：Final Answer: The equivalent exponential equation to the given logarithmic equation is \(\boxed{3^2 = 9}\).