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

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of
logarithms or multiples of logarithms.
- $\log _ { 15 } \left( \frac { 14 \sqrt { \mathrm { r } } } { \mathrm { s } } \right)$

A) $\log _ { 15 } ( 14 \sqrt { \mathrm { r } } ) - \log _ { 15 } \mathrm {~s}$
B) $\log _ { 15 } 14 + \frac { 1 } { 2 } \log _ { 15 } \mathrm { r } - \log _ { 15 } \mathrm {~s}$
C) $\log _ { 15 } 14 \cdot \frac { 1 } { 2 } \log _ { 15 } \mathrm { r } \div \log _ { 15 } \mathrm {~s}$
D) $\log _ { 15 } s - \log _ { 15 } 14 - \frac { 1 } { 2 } \log _ { 15 } r$

Correct Answer:

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