Problem

$\log _{2} 11-\log _{2} 9=\log _{2}$

Answer

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Answer

\(\boxed{x \approx 1.222}\)

Steps

Step 1 :\(\log _{2} 11 - \log _{2} 9 = \log _{2} x\)

Step 2 :Using the logarithm property \(\log _{a} b - \log _{a} c = \log _{a} \frac{b}{c}\), we get:

Step 3 :\(\log _{2} \frac{11}{9} = \log _{2} x\)

Step 4 :\(x = \frac{11}{9}\)

Step 5 :\(\boxed{x \approx 1.222}\)

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