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

A.0 B.1 C.-1 D.4

• a^3=2a+3 and 2^a=4+a
  it is given that 2^a=a^3
  so 4+a=2a+3
  a=1 is the answer
• 12 years agoHelpfull: Yes(25) No(6)
• from the given equation x^y=2x+y ---1
  
  2^a=a^3 ---2
  compare both equation x=2,a
  y=a,3
  take value of x=2 and y=a
  then 2^a=2*2+a
  =4+a
  if value of x=a and y=3
  then a^3=2*a+3
  
  so 4+a=2a+3
  a=1 is the ans
  
• 11 years agoHelpfull: Yes(17) No(3)
• Here given X^Y = 2X+Y
  so 2^a=a^3
  => 2*2+a=2*a+3
  => 2a-a=4-3
  => a=1
  so Ans is (B)
• 12 years agoHelpfull: Yes(10) No(4)
• 2^a=a^3
  => 2*2+a=2*a+3
  => 2a-a=4-3
  => a=1
  
• 9 years agoHelpfull: Yes(3) No(1)
• x^y = 2x + y then 2^a will be 2*2 +a =4+a and a^3 will be 2a+3
  therefore, 4+a = 2a+3 => a=1
• 7 years agoHelpfull: Yes(0) No(0)