Use Properties of Logarithms to Condense the Logarithmic Expression $$\log _ { 2 } ( x - 5 ) - \log _ { 2 } ( x - 2 )$$

question 118

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.
- $$\log _ { 2 } ( x - 5 ) - \log _ { 2 } ( x - 2 )$$

• A) \(\log _ { 2 } \left( \frac { x - 5 } { x - 2 } \right)\)
• B) \(\log _ { 2 } \left( \frac { x - 5 } { x + 2 } \right)\)
• C) \(\log _ { 2 } - 3\)
• D) \(\log _ { 2 } \left( x ^ { 2 } - 7 x + 10 \right)\)

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