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) $\frac { \log 5 } { 4 ( \log x + \log y ) }$

Question

Quizplus · Accepted Answer

The expression can be expanded using the properties of logarithms: log(ab) = log a + log b and log(a^n) = n log a. Thus, log 5x^4y = log 5 + log x^4 + log y = log 5 + 4log x + log y.

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