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Assuming All Variables Are Positive, Use Properties of Logarithms to Write

Question 141

Multiple Choice

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of
logarithms or multiples of logarithms.
- log3(x5y28) \log _ { 3 } \left( \frac { x ^ { 5 } y ^ { 2 } } { 8 } \right)


A) 5log3x2log3ylog385 \log _ { 3 } x - 2 \log _ { 3 } y - \log _ { 3 } 8
B) (5log3x) (2log3y) log38\left( 5 \log _ { 3 } x \right) \left( 2 \log _ { 3 } y \right) - \log _ { 3 } 8
C) 5log3x+2log3y+log385 \log _ { 3 } x + 2 \log _ { 3 } y + \log _ { 3 } 8
D) 5log3x+2log3ylog385 \log _ { 3 } x + 2 \log _ { 3 } y - \log _ { 3 } 8

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