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Logarithms

It's really easy to just do these guys in your head.

Here's how it works:

Guys that start out on the top...

log( ( x^2 w ) / ( y z^3 )
 

end up with "+" signs in front of them:


2 * log( x ) + log( w ) - log( y ) - 3 * log( z ) ... the first two guys are positive
 

Guys that start out on the bottom...


log( ( x^2 w ) / ( y z^3 ) )
 

end up with "-" signs in front of them:


2 * log( x ) + log( w ) - log( y ) - 3 * log( z ) ... the last two guys are negative
 

Then you just have to deal with the exponents.  Easy!

Let's do this guy in one shot:

Ln( ( x^7 w^2 ) / ( y^4 z ) ) = 7 * Ln( x ) + 2 * Ln( w ) - 4 * Ln( y ) - Ln( z )