To make the two expressions equivalent, we need to make the base of the first expression, 3³, equal to the base of the second expression, 3²⁴.
We have the equation 3³ = 3²⁴.
Since the bases are equal, we can equate the exponents:
3 = 24x.
To solve for x, we divide both sides of the equation by 24:
3/24 = x.
Simplifying the left side of the equation gives us:
1/8 = x.
Therefore, the exponent x that would make the two expressions equivalent is 1/8.
What exponent would make the two expressions equivalent (3³)^x÷3²⁴?
1 answer