WORTH 20 POINTSWhich functions are equivalent to f(x)= 4√162? Check all that applyA)f(x)= 162 x/4B)f(x)=(3 4√2)xC)f(x)=9 4√2 xD)f(x)=162 4/xE)f(x)=[3 (2 1/4)]x

[tex]\bf 4\sqrt{162}\qquad \begin{cases} 162=2\cdot 3\cdot 3\cdot 3\cdot 3\\ \qquad 2\cdot 3^4\\ \qquad 2\cdot (3^2)^2 \end{cases}\implies 4\sqrt{2\cdot (3^2)^2}\implies 4\cdot 3^2\sqrt{2} \\\\\\ 4\cdot 9\sqrt{2}\implies 36\sqrt{2}[/tex]