Question

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

Answer 1

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