What exponent would make the two expressions equivalent (3³)^x=3²⁴?

Question

A. 21
B. 8
C. 15
D. 27

Gelo

Answer 1

To solve this equation, you can start by simplifying the expression on the left side:

(3³)^x = 3^9x

Now you can set this equal to 3²⁴:

3^9x = 3²⁴

To find the value of x that makes these two expressions equivalent, you can equate the exponents:

9x = 24

To solve for x, divide both sides of the equation by 9:

x = 24/9

Simplifying this fraction, you get:

x = 8/3

Therefore, the exponent that would make the two expressions equivalent is 8/3, or option B.

Answer 2

no
(3³)^x = 3^3x
so you need to solve 3x=24

Answer 3

You are correct, I apologize for the mistake in my previous response.

To solve the equation (3³)^x = 3²⁴, you need to equate the exponents:

3x = 24

Now you can solve for x:

Divide both sides of the equation by 3:

x = 24/3

Simplifying the fraction, you get:

x = 8

Therefore, the exponent that would make the two expressions equivalent is 8, or option B.