Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.(Assume all variables are positive.)
Ln 9x

A)ln 9 - ln x
B) $\frac { \ln 9 } { \ln x }$
C)ln 9 × ln x
D)ln 9 + ln x
E)None of these

Question

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.(Assume all variables are positive.) 
Ln 9x

A)ln 9 - ln x
B) $\frac { \ln 9 } { \ln x }$
C)ln 9 × ln x
D)ln 9 + ln x
E)None of these

Quizplus · Accepted Answer

The property of logarithms that applies here is the product rule, which states that the logarithm of a product is the sum of the logarithms of the factors. Therefore, ln(9x) = ln(9) + ln(x).

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