Solve the exponential equation for \( x \). \[ 9^{3 x-10}=\left(\frac{1}{81}\right)^{\frac{1}{6}} \]

Step 1 ：9^{3x-10}=(81^{-1})^{\frac{1}{6}}

Step 2 ：3x-10=\frac{1}{6}(-1)

Step 3 ：x=\frac{-1}{18}+\frac{10}{3}