Multiple choice general knowledge math & puzzles

If the operation, ^ is defined by the equation x ^ y = 2x + y, what is the value of a in 2 ^ a = a ^ 3

  1. 4

  2. 0

  3. 1

  4. 7

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given x ^ y = 2x + y, we have 2 ^ a = a ^ 3. This means 2(2)+a = 2a+3, which simplifies to 4+a = 2a+3, giving a=1. Verifying: 2^1 = 2(2)+1 = 5 and 1^3 = 2(1)+3 = 5, both equal.