Expand into a sum and/or difference of logarithms. Assume all variables represent positive real numbers. $\log \left( \frac { x } { y } \right)$
A) $\log x + \log y$
B) $\log x \cdot \log y ^ { - 1 }$
C) $\log x - \log y$
D) $\frac { \log x } { \log y }$

Question

Quizplus · Accepted Answer

The logarithm of a quotient is equal to the difference of the logarithms of the numerator and the denominator, hence $\log \left( \frac { x } { y } \right) = \log x - \log y$.

Expand into a Sum And/or Difference of Logarithms log⁡(xy)\log \left( \frac { x } { y } \right)log(yx​)

Expand into a Sum And/or Difference of Logarithms $\log \left( \frac { x } { y } \right)$