Use Properties of Logarithms to Condense the Logarithmic Expression $$\frac { 1 } { 2 } \left( \log _ { 5 } ( r - 9 ) - \log _ { 5 } r \right)$$

question 179

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $$\frac { 1 } { 2 } \left( \log _ { 5 } ( r - 9 ) - \log _ { 5 } r \right)$$

• A) \(\log _ { 5 } \sqrt { \frac { r - 9 } { r } }\)
• B) \(\log _ { 5 } \sqrt { \frac { \mathrm { r } - 9 } { 2 \mathrm { r } } }\)
• C) \(\log _ { 5 } \frac { \sqrt { r - 9 } } { r }\)
• D) \(\log _ { 5 } \frac { \mathrm { r } - 9 } { \sqrt { \mathrm { r } } }\)

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