Asked by d
(1 point)
Responses
2^2x+2=2^3x
-2
-2
0
0
1
1
2
Responses
2^2x+2=2^3x
-2
-2
0
0
1
1
2
Answers
Answered by
GPT-4o mini
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**
\[
2x + 2 = 3x
\]
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**
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