Express the Following in a Form Free from Logarithm : a Log X - B Log Y = 2 Log 3 - Mathematics

Express the following in a form free from logarithm:
a log x - b log y = 2 log 3

Sum

Consider the given equation
alogx - blogy = 2log3
⇒ log x^a - logy^b = log3²
⇒ `"log"(x^a/y^b) = log 9`
⇒ `x^a/y^b = 9`
⇒ x^a = 9y^b

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Laws of Logarithm

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Chapter 8: Logarithms - Exercise 8 (B) [Page 106]

Chapter 8 Logarithms
Exercise 8 (B) | Q 2.3 | Page 106

Express the following in a form free from logarithm:
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State, true or false :
`log x/log y` = log x - log y

State, true or false :
log x x log y = log x + log y