More logarithms? everybody’s favorite!
which one is the correct answer please
log (a/b) is equivalent to:
(log a)/(log (log a)/b
(log a) – (log b) antilog (a/b) antilog (a – b)
Logarithms are, by and large, not the people’s choice. There are a couple of properties that come in handy when trying to simplify expressions containing logarithms:
log(a/b) = log a – log b
log(a x b) = log a + log b
To convince yourself that these are true, consider a specific example. Let a = 105 and b = 103 . In this example, log a = 5 , log b = 3, a/b = 102, and log (a/b) = 5 – 3 = 2.
By the way, in case you forgot, antilog x means “the number whose log is x”. E.g., antilog 4 = 104
