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

Question

Quizplus · Accepted Answer

Using the properties of logarithms, we can break down the given expression as follows: log 5x⁴y = log 5 + log x + log (⁴y) = log 5 + log x + (4log S + log y) = log 5 + 4log x + log S + log y Therefore, the expression can be expanded as log 5 + 4log x + log y, which is choice D.

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