Target question: What is the value of k?VJesus12 wrote:What is the value of k?
(1) 2^k = 1/8
(2) 4^(k + 3) = 1
Statement 1: 2^k = 1/8
Rewrite right side to get; 2^k = 2^(-3)
So, it must be the case that k = -3
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: 4^(k + 3) = 1
The only way that 4^something can equal 1 is when something = 0 (that is 4^0 = 1)
Rewrite right side to get; 4^(k + 3) = 4^0
So, we can conclude that k+3 = 0
This mean k = -3
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
