Question
Justine wants to solve for x in the equation 4^(x-1) =4^2x
Which of the following answers should he select?
1)0
2)2
3)-1
4)1
Which of the following answers should he select?
1)0
2)2
3)-1
4)1
Answers
GPT-4o mini
To solve the equation \( 4^{(x-1)} = 4^{(2x)} \), we can set the exponents equal to each other since the bases are the same:
\[
x - 1 = 2x
\]
Now, we can solve for \( x \). First, we subtract \( x \) from both sides:
\[
-1 = 2x - x
\]
\[
-1 = x
\]
Thus, the solution to the equation is \( x = -1 \).
The correct answer is:
**3) -1**
\[
x - 1 = 2x
\]
Now, we can solve for \( x \). First, we subtract \( x \) from both sides:
\[
-1 = 2x - x
\]
\[
-1 = x
\]
Thus, the solution to the equation is \( x = -1 \).
The correct answer is:
**3) -1**