log 7
log (7x2/3) + log (11/5) - log (11x2/5x3) [ log laws ]
log 7 + log 2 - log 3 + log 11 - log 5 - [ log 11 + log 2 - (log 5 + log 3)]
log 7 + log 2 - log 3 + log 11 - log 5 - [ log 11 + log 2 - log 5 - log 3]
log 7 + log 2 - log 3 + log 11 - log 5 - log 11 - log 2 + log 5 + log 3
{ + log 3 - log 3 gets cancelled + log 2 - log 2 gets cancelled + log 11 - log 11 gets cancelled + log 5 - log 5 gets cancelled }
log 7