On the set of all non-zero reals, an operation * is defined as a*b= 3 ab2. In this group, a solution of (2*x )*3^-1=4^-1 is

Question

Accepted Answer

Correct answer: C. (c): Given, (2*x )*3^-1=4^-1 Now, L.H.S. = ( 3 2 x2 )*3^-1= (3x )*3^-1= 3x2 So, 3x2= 14 ⇒x=1/6.

$On the set of all non-zero reals, an operation * is defined as a * b = \frac{3 ab}{2} . In this group, a solution of (2 * x) * 3^{- 1} = 4^{- 1} is$