If ${\left( {{2 \over 3}} \right)^{x + 2}} = {\left( {{3 \over 2}} \right)^{2 - 2x}},$then $x =$

  • A

    $1$

  • B

    $3$

  • C

    $4$

  • D

    $0$

Similar Questions

$\sqrt {(3 + \sqrt 5 )} - \sqrt {(2 + \sqrt 3 )} = $

If ${a^x} = bc,{b^y} = ca,\,{c^z} = ab,$ then $xyz$=

$\sqrt {(3 + \sqrt 5 )} $ is equal to

The number of integers $q , 1 \leq q \leq 2021$, such that $\sqrt{ q }$ is rational, and $\frac{1}{ q }$ has a terminating decimal expansion, is

  • [KVPY 2021]

If ${x^{x\root 3 \of x }} = {(x\,.\,\root 3 \of x )^x},$ then $x =$