To make the two expressions equivalent, we can start from the equation:
\[ (3^3)x = 3^{24} \]
We can express \( (3^3)x \) as \( 3^{3x} \). This gives us:
\[ 3^{3x} = 3^{24} \]
Since the bases are the same, we can set the exponents equal to each other:
\[ 3x = 24 \]
Now, solve for \( x \) by dividing both sides by 3:
\[ x = \frac{24}{3} = 8 \]
Therefore, the exponent that would make the two expressions equivalent is:
8