给出下列三个等式： $f\left(xy\right)=f\left(x\right)+f\left(y\right),f(x+y)=f\left(x\right)f\left(y\right),f(x+y)=\frac{f\left(x\right)+f\left(y\right)}{1-f\left(x\right)f\left(y\right)}$.下列函数中不满足其中任何一个等式的是

A．	$f\left(x\right)=3^x$	B．	$f\left(x\right)=\sin x$
C．	$f\left(x\right)={\log }_{2}x$	D．	$f\left(x\right)=\tan x$