Express the Following in a Form Free from Logarithm: 5 Log M - 1 = 3 Log N - Mathematics

Express the following in a form free from logarithm:
5 log m - 1 = 3 log n

Sum

5 log m - 1 = 3 log n
⇒ log m⁵ - log 10 = log n³
⇒ `"log"(("m"^5)/10)` = log n³

⇒ `(("m"^5)/10)` = n³
⇒ m⁵ = 10 n³.

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