The positive value of x that satisfies the equation is 27.
To solve equations involving indices, we make sure that the bases are equal. Indices is always in the form axⁿ. Where n is the index , a is the coefficient and x is the base.
Solving
3x² = 27³
3x² = (3³)³
x² = (3³)³/3
x² = 3⁶
x = √3⁶
x = 3³
x = 27
Therefore the positive value of x that satisfies the equation is 27