Question

If $2^{3{\log }_{2}x}=243$ then find the value of $x$.

Answer 1

Given,

$2^{3{\log }_{2}x}=243$

or, $2^{{\log }_2{x}^3}=243$

or, $x^3=7^3$ [ Since $2^{{\log }_{2}x}=x$]

or, $x=3$.