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

Question 259

Multiple Choice

Write as the sum and/or difference of logarithms. Express powers as factors.
- log⁡3(x2y6) \log _ { 3 } \left( \frac { x ^ { 2 } } { y ^ { 6 } } \right)


A) 6log⁡3y−2log⁡3x6 \log _ { 3 } y - 2 \log _ { 3 } x
B) 2log⁡3x+6log⁡3y2 \log _ { 3 } x + 6 \log _ { 3 } y
C) 13log⁡3(xy) \frac { 1 } { 3 } \log _ { 3 } \left( \frac { \mathrm { x } } { \mathrm { y } } \right)
D) 2log⁡3x−6log⁡3y2 \log _ { 3 } x - 6 \log _ { 3 } y

Correct Answer:

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