Use the properties of logarithms to write the expression $\log _ { 7 } \frac { x y } { 7 }$ as a sum, difference, or multiple of logarithms. Assume x and y are positive numbers.
A) $\log _ { 7 } x + \log _ { 7 } y - 1$
B) $\log _ { 7 } x - \log _ { 7 } y + 1$
C) $7 \log _ { 7 } x + \log _ { 7 } y$
D) $\log _ { 7 } x + \log _ { 7 } y + 1$

Question

Quizplus · Accepted Answer

The expression $\log _ { 7 } \frac { x y } { 7 }$ can be rewritten using the properties of logarithms as $\log _ { 7 } x + \log _ { 7 } y - \log _ { 7 } 7$. Since $\log _ { 7 } 7 = 1$, the expression simplifies to $\log _ { 7 } x + \log _ { 7 } y - 1$.

Use the Properties of Logarithms to Write the Expression log⁡7xy7\log _ { 7 } \frac { x y } { 7 }log7​7xy​

Use the Properties of Logarithms to Write the Expression $\log _ { 7 } \frac { x y } { 7 }$