Use the Properties of Logarithms to Rewrite the Expression $\log _ { 8 } \left( \frac { \sqrt { 7 } } { 9 } \right)$

question 437

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 8 } \left( \frac { \sqrt { 7 } } { 9 } \right)$

• A) \(\frac { \frac { 1 } { 2 } \log _ { 8 } 7 } { \log _ { 8 } 9 }\)
• B) \(\sqrt { \log _ { 8 } 7 } - \log _ { 8 } 9\)
• C) \(\log _ { 8 } \sqrt { 7 } + \log _ { 8 } 9\)
• D) \(\frac { 1 } { 2 } \log _ { 8 } 7 - \log _ { 8 } 9\)

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