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Question
If log x = p + q and log y = p - q, find the value of log `(10x)/y^2` in terms of p and q.
Solution
log x = p + q and log y = p - q
`"log"(10x)/y^2` = log 10x - log y2
⇒ `"log"(10x)/y^2` = log10 + logx - 2logy
⇒ `"log"(10x)/y^2` = 1 + p + q - 2(p - q)
⇒ `"log"(10x)/y^2` = 1 - p + 3q.
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