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. -1

  2. 0

  3. 1

  4. 4

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

Given the operation x ^ y = 2x + y, we need to find a such that 2 ^ a = a ^ 3. This means 2(2) + a = 2(a) + 3, which simplifies to 4 + a = 2a + 3. Solving gives a = 1. Both sides equal 5 when a=1.