The expanded form of the expression log m² n⁵ is
2 log m +5 log n.
Given that the expression is log m² n⁵.
We are required to find the expansion form of the given expression.
Product property of logarithm says that the logarithm of a product is equal to a sum of logarithms. Because logs are exponents, and we multiply like bases, we have to add the exponents.
The expression is log m² n⁵.
log m² n⁵=log [tex]m^{2}[/tex]+ log [tex]n^{5}[/tex]
=2 log m +5 log n
Hence the expanded form of the expression log m² n⁵ is
2 log m +5 log n.
Learn more about product property of logarithm at https://brainly.com/question/26437292
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