example for quotient rule for logarithms

log( a / b )  =  log(a) - log(b)

log( xy² / z³ )  =  log( xy² ) - log( z³ )  

                        =  log( x ) + log( y² ) - log( z³ )

                        =  log( x ) + 2log( y ) - 3log(z)