Question

What is the value of x in the equation 2^2x = 2^3?

A.) x = 1.5
B.) x = 3
C.) x = 64
D.) x = 0.28

Answer 1

The value of x is A) 1.5

Explanation:

In order to find this, we can first note that if the base is the same, their exponents also must be the same. Since both have a base of 2, then we can eliminate the base and simply compare their exponents.

2x = 3

Now we can solve by simply dividing both by 2.

x = 1.5