(1 point)

Question

Responses
2^2x+2=2^3x
-2
-2

0
0

1
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Answer 1

To solve the equation \( 2^{2x + 2} = 2^{3x} \), we can set the exponents equal to each other since the bases are the same:

\[ 2x + 2 = 3x \]

Now, we can solve for \( x \):

1. Subtract \( 2x \) from both sides: \[ 2 = 3x - 2x \] \[ 2 = x \]

So, the solution to the equation is \( x = 2 \).

From your provided responses, the correct answer is:

2