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) $\log _ { 19 } \frac { x ^ { 2 } } { y }$

Question

Quizplus · Accepted Answer

The properties of logarithms allow for the subtraction of two logs with the same base to be written as the log of the division of their arguments.

Write the Expression as a Single Logarithm log⁡19x7y8−log⁡19x5y9\log _ { 19 } x ^ { 7 } y ^ { 8 } - \log _ { 19 } x ^ { 5 } y ^ { 9 }log19​x7y8−log19​x5y9

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