Express as a single logarithm and, if possible, simplify.
-$$\ln \left( 3 x ^ { 2 } - 9 x \right) + \ln \left( \frac { 1 } { 3 x } \right)$$
A) $\ln \left( 3 x ^ { 2 } - 9 x + \frac { 1 } { 3 x } \right)$
B) $\ln ( x - 3 )$
C) $\ln ( x - 9 )$
D) $\ln \left( 9 x ^ { 2 } ( x - 3 ) \right)$

Question

Quizplus · Accepted Answer

The expression can be combined using the property $\ln a + \ln b = \ln (ab)$. Simplifying gives $\ln \left( (3x^2 - 9x) \cdot \frac{1}{3x} \right) = \ln (x - 3)$.

Express as a Single Logarithm And, If Possible, Simplify ln⁡(3x2−9x)+ln⁡(13x)\ln \left( 3 x ^ { 2 } - 9 x \right) + \ln \left( \frac { 1 } { 3 x } \right)ln(3x2−9x)+ln(3x1​)

Express as a Single Logarithm And, If Possible, Simplify $\ln \left( 3 x ^ { 2 } - 9 x \right) + \ln \left( \frac { 1 } { 3 x } \right)$