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Algebra 2 please help! 15pts!

Determine which of the following logarithms is expanded correctly.

Algebra 2 please help! 15pts! Determine which of the following logarithms is expanded-example-1
User Marcj
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The logarithm that is expanded correctly is ㏒₉ 7/(ab)² = log₉ 7 - 2log₉ b - 2log₉ b. It follows the law of logarithm for a fraction, log (a/b) = log a - log b, for a monomial, log ab  = log a + log b and for a variable with exponent, log a² = 2log a. The answer is therefore letter C. The rest of the answers are not properly expanded.
User Barry Wang
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