Question 10
IndicesIf 16 × 2(x + 1) = 4x × 8(1 − x), find the value of x.
- A.−4
- B.4
- C.1
- D.−1
Show the answer and explanation
Answer: D (−1)
Explanation
In base 2: 24 + x + 1 = 22x × 23 − 3x, so x + 5 = 3 − x. Then 2x = −2 and x = −1.
If 16 × 2(x + 1) = 4x × 8(1 − x), find the value of x.
Answer: D (−1)
In base 2: 24 + x + 1 = 22x × 23 − 3x, so x + 5 = 3 − x. Then 2x = −2 and x = −1.