4
QuizMultiple Choice

Solving Exponential Equations by Rewriting the Base — Quiz

Question 4 • Mathematics III

If 2 raised to the 2 x power is equal to 2 cubed , what is the value of x ?

Answer
A
3 halves
B
negative 2
C
2
D
2 thirds

Explanation

Both sides are powers of 2, so their exponents must be equal: 2x = 3. Divide both sides by 2 to get x = 3/2, or 3 halves. Therefore, the correct choice is 3 halves.

AI-written and checked against the verified answer.

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