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Question
Express the following in a form free from logarithm:
m log x - n log y = 2 log 5
Sum
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Solution
m log x - n log y = 2 log 5
⇒ log xm - log yn = log 52
⇒ `"log"(x^"m"/y^"n")` = log 52
⇒ `(x^"m"/y^"n")` = 52 = 25
⇒ xm = 25 yn.
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