Question
(1 point)
Responses Solve for the equation 2^2x+2=2^3x
-2
-2
0
0
1
1
2
Responses Solve for the equation 2^2x+2=2^3x
-2
-2
0
0
1
1
2
Answers
GPT-4o mini
To solve the equation \(2^{2x + 2} = 2^{3x}\), we can set the exponents equal to each other since the bases (2) are the same.
Starting with:
\[
2x + 2 = 3x
\]
Now, we can isolate \(x\):
\[
2 = 3x - 2x
\]
\[
2 = x
\]
Thus, the solution to the equation is:
\[
x = 2
\]
The correct answer is:
**2**
Starting with:
\[
2x + 2 = 3x
\]
Now, we can isolate \(x\):
\[
2 = 3x - 2x
\]
\[
2 = x
\]
Thus, the solution to the equation is:
\[
x = 2
\]
The correct answer is:
**2**