Use the properties of logarithms to expand the expression as a sum,difference,and/or constant multiple of logarithms.(Assume all variables are positive. ) ? Log₃ 9x ? A) $\frac { \log _ { 3 } 9 } { \log _ { 3 } x }$ B)log₃ 9? × log₃ x C)log₃ 9? + log₃ x D)log₃ 9? - log₃ x E)None of these

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The logarithm of a product can be expanded as the sum of the logarithms of the factors: $\log_b(mn) = \log_b(m) + \log_b(n)$. Thus, $\log_3(9x) = \log_3(9) + \log_3(x)$.

Use the Properties of Logarithms to Expand the Expression as a Sum,difference,and/or