code class$=$"asciimath"$>$Which one of the following statements is false? Select one: $(1)/(2)$ln$($x$^(2)+1)+(1)/(2)$ln$($e$^($x$))-3$ln$((1+$x$^(4))^(2))=($x$)/(2)+$ln$((\backslash$sqrt$($x$^(2)+1))/((1+$x$^(4))^(6)))$ for all xinR. log$\_(10)($xy$^(2))=($ln$($x$)+2$ln$($y$))/($ln$(10))$ for all positive numbers x and y$.$ ln$((1+$x$)^(2))$ln$($x$^(2))=4$ln$(1+$x$)$ln$($x$)$ for all xinR. e$^($ln$(1+$x$))=1+$x for all x$>-1.$