Write as the sum and/or difference of logarithms. Express powers as factors.
-$\log _ { 3 } \left( \frac { x ^ { 2 } } { y ^ { 6 } } \right)$
A) $6 \log _ { 3 } y - 2 \log _ { 3 } x$
B) $2 \log _ { 3 } x + 6 \log _ { 3 } y$
C) $\frac { 1 } { 3 } \log _ { 3 } \left( \frac { \mathrm { x } } { \mathrm { y } } \right)$
D) $2 \log _ { 3 } x - 6 \log _ { 3 } y$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, the expression can be rewritten as the difference of the logarithms of the numerator and denominator, with the exponents factored out.

Write as the Sum And/or Difference of Logarithms log⁡3(x2y6)\log _ { 3 } \left( \frac { x ^ { 2 } } { y ^ { 6 } } \right)log3​(y6x2​)

Write as the Sum And/or Difference of Logarithms $\log _ { 3 } \left( \frac { x ^ { 2 } } { y ^ { 6 } } \right)$