Expand into a sum and/or difference of logarithms. Assume all variables represent positive real numbers. $$\log _ { 12 } ( x y )$$
A) $\left( \log _ { 12 } x \right) \cdot y$
B) $\log _ { 12 } x \times \log _ { 12 } y$
C) $\log _ { 12 } x + \log _ { 12 } y$
D) $\log _ { 12 } x - \log _ { 12 } y$

Question

Quizplus · Accepted Answer

The logarithm of a product is equal to the sum of the logarithms of the factors, hence $\log _ { 12 } ( x y ) = \log _ { 12 } x + \log _ { 12 } y$.

Expand into a Sum And/or Difference of Logarithms log⁡12(xy)\log _ { 12 } ( x y )log12​(xy)

Expand into a Sum And/or Difference of Logarithms $\log _ { 12 } ( x y )$