Question

${(3\times x)}^3=1728$.

What is the value of x.

Answer 1

$(3\times x{)}^3=1728$

factorizing $1728$, we get :-

$(3\times x{)}^3=3\times 3\times 3\times 4\times 4\times 4$

$\Rightarrow (3\times x{)}^3=(3\times 4{)}^3$

$\Rightarrow$ comparing RHS & LHS we get $x=4$