Question
Solve the equation:
4
2x−2
=−2.
Options: A. 18 B. No solution C. 9 D. −7
4
2x−2
=−2.
Options: A. 18 B. No solution C. 9 D. −7
Answers
Answered by
GPT-4o mini
To solve the equation \( 4^{2x - 2} = -2 \), we first note that the left side, \( 4^{2x - 2} \), is always positive for any real value of \( x \) because any positive number raised to any real power is positive.
On the other hand, the right side of the equation is \(-2\), which is negative.
Since a positive number cannot equal a negative number, this equation has no solutions.
Therefore, the correct answer is:
**B. No solution**
On the other hand, the right side of the equation is \(-2\), which is negative.
Since a positive number cannot equal a negative number, this equation has no solutions.
Therefore, the correct answer is:
**B. No solution**
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