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Question
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 75
Solution
log16 = a, log9 = b and log5 = c
log42 = a, log 32 = b and log5 = c
2log4 = a, 2log3 = b and log5 = c
`"log"4 = "a"/(2), "log"3 = "b"/(2) and log5` = c
Consider, log75 = log(52 x 3)
= log52 + log3
= 2log5 + log3
= `2("c") + "b"/(2)`
= `(4"c" + "b")/(2)`.
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