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Question
Express the following in a form free from logarithm:
a log x - b log y = 2 log 3
Solution
Consider the given equation
alogx - blogy = 2log3
⇒ log xa - logyb = log32
⇒ `"log"(x^a/y^b) = log 9`
⇒ `x^a/y^b = 9`
⇒ xa = 9yb
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