Question

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

Answer 1

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.