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Question
Express the following in a form free from logarithm:
3 log x - 2 log y = 2
Sum
Solution
3 log x - 2 log y = 2
⇒ log x3 - log y2
= 2 log 10
⇒ `"log"(x^3/y^2)` = log 102
= log 100
⇒ `(x^3/y^2)` = 100
⇒ x3 = 100 y2.
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