Answer:
log7
Step-by-step explanation:
We are given the following expression in terms of log and we are to solve it:
log (14/3) + log (11/5) - log (22/15)
Just to recall, when we divide two values that have the same base, we basically subtract the exponents.
So applying this rule here to get:
(log11 - log5) + (log14 - log3) - (log22 - log15)
= log11 - log5 + log14 - log3 - log2×11 + log5.3
= loh11 - log5 + log14 - log3 - log2 - log11 + log5 + log3
Cancelling out the like terms to get:
= log14 - log2
= log 14/2
= log7
