Question

What exponent would make the two expressions equivalent (3^3) x = 3^24
15
21
8
27

Answer 1

The correct answer is 8.

To find the exponent that would make the two expressions equal, we set the exponents equal to each other and solve for x:

(3^3) x = 3^24

We can simplify the left side of the equation by multiplying:

3^(3x) = 3^24

Now we can equate the exponents:

3x = 24

To solve for x, divide both sides of the equation by 3:

x = 8