Condense the expression 3(log x - log y)to the logarithm of a single term.
A) $\log \frac { x ^ { 3 } } { y }$
B) $\log \frac { 3 x } { 3 y }$
C) $\log \frac { x } { y ^ { 3 } }$
D)3(log x - log y)
E) $\log \left( \frac { x } { y } \right) ^ { 3 }$

Question

Quizplus · Accepted Answer

Using the logarithm properties, $3(\log x - \log y)$ simplifies to $\log \left( \frac { x } { y } \right) ^ { 3 }$. This is because the difference of logs is the log of a quotient, and multiplying a log by a constant is equivalent to raising its argument to the power of that constant.

Condense the Expression 3(log X - Log Y)to the Logarithm log⁡x3y\log \frac { x ^ { 3 } } { y }logyx3​

Condense the Expression 3(log X - Log Y)to the Logarithm $\log \frac { x ^ { 3 } } { y }$