Question

7
Type the correct answer in the box.
log14/3 +log11/5 -log22/15 = log?

Answer 1

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