Express the Following in a Form Free from Logarithm: M Log X - N Log Y = 2 Log 5 - Mathematics

Express the following in a form free from logarithm:
m log x - n log y = 2 log 5

Sum

m log x - n log y = 2 log 5
⇒ log x^m - log yⁿ = log 5²
⇒ `"log"(x^"m"/y^"n")` = log 5²

⇒ `(x^"m"/y^"n")` = 5² = 25
⇒ x^m = 25 yⁿ.

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