Match the expression with its expansion:

Expression:

$a.f(x)=ln[\frac{\sqrt[\phantom{2}]{x}}{e^x(x+3{)}^2}]$

$b.f(x)=ln[\frac{e^x}{\sqrt[\phantom{2}]{x}(x+3{)}^2}]$

$c.f(x)=ln[\frac{e^x(x+3{)}^2}{\sqrt[\phantom{2}]{x}}]$

$d.f(x)=ln[e^x\sqrt[\phantom{2}]{x}(x+3{)}^2]$

$e.f(x)=ln[\frac{(x+3{)}^2}{e^x\sqrt[\phantom{2}]{x}}]$

Expansion:

$f(x)=x-\frac{1}{2}ln(x)-2ln(x+3)$

$f(x)=x-\frac{1}{2}ln(x)+2ln(x+3)$

$f(x)=-x+\frac{1}{2}ln(x)-2ln(x+3)$

$f(x)=-x-\frac{1}{2}ln(x)+2ln(x+3)$

$f(x)=x+\frac{1}{2}ln(x)+2ln(x+3)$

$a$

$b$

$d$