I don't know how to condense ln expressions.

x^{a} * x^{b} = x^{a+b} , x^{a} / x^{b} = x^{a-b} , (x^{a})^{b} = x^{ab} , x^{0} = 1
**
**~~~~~~~~~~~~~

**= ln 4xy**

ln 4xy

ln 4xy

^{2}- 2 ln x^{2}y^{2}- ln (x

^{2}y)

^{2}=

↓ ↓

↓ ln x

^{4}y

^{2}

↓

ln ((4xy

^{2}) / (x

^{4}y

^{2})) =

**ln 4x**(

^{-3}or**ln 4 - 3 ln x)**

## Comments

-3 ln (4x) = ln (4x)^-3 = ln(1/((4^3)(x^3) ? ln(4x^-3)

You are right George, thank you :-)