Write the Expression as a Single Logarithm $$\log _ { 19 } x ^ { 7 } y ^ { 8 } - \log _ { 19 } x ^ { 5 } y ^ { 9 }$$

question 90

Multiple Choice

Write the expression as a single logarithm. Assume all variables represent positive real numbers. $$\log _ { 19 } x ^ { 7 } y ^ { 8 } - \log _ { 19 } x ^ { 5 } y ^ { 9 }$$

• A) \(\log _ { 19 } \left( x ^ { 7 } y ^ { 8 } - x ^ { 5 } y ^ { 9 } \right)\)
• B) \(\log _ { 19 } \left( x ^ { 12 } y ^ { 17 } \right)\)
• C) \(2 \log _ { 19 } \frac { x } { y }\)
• D) \(\log _ { 19 } \frac { x ^ { 2 } } { y }\)