Provide an appropriate response.
-Write the expression $\log _ { 5 } \frac { 4 x ^ { 6 } } { y ^ { 7 } }$ as a sum or difference of multiples of logarithms.
A) $\log _ { 5 } 4 + 6 \log _ { 5 } x + 7 \log _ { 5 } y$
B) $\log _ { 5 } 4 - 6 \log _ { 5 } x - 7 \log _ { 5 } y$
C) $\left( \log _ { 5 } 4 \right) \left( 6 \log _ { 5 } x \right) - 7 \log _ { 5 } y$
D) $\log _ { 5 } 4 + 6 \log _ { 5 } x - 7 \log _ { 5 } y$

Question

Quizplus · Accepted Answer

Using the logarithm properties, the expression can be rewritten as a sum of the logarithm of the numerator and the negative of the logarithm of the denominator, and the exponent can be brought in front as a multiplier.

Provide an Appropriate Response log⁡54x6y7\log _ { 5 } \frac { 4 x ^ { 6 } } { y ^ { 7 } }log5​y74x6​

Provide an Appropriate Response $\log _ { 5 } \frac { 4 x ^ { 6 } } { y ^ { 7 } }$