Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.(Assume all variables are positive.) Log 5x⁴y A)log 5 × 4log x × log y B)log 5 + 4log x - log y C)log 5 + log x + 4log y D)log 5 + 4log x + log y E) $\frac { \log 5 } { 4 ( \log x + \log y ) }$

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Quizplus · Accepted Answer

The expression can be expanded using the properties of logarithms: $\log(ab) = \log a + \log b$ for multiplication, and $\log(a^c) = c\log a$ for exponents. The given expression simplifies to $\log 5 + 4\log x + \log y$.

Use the Properties of Logarithms to Expand the Expression as a Sum