Write the logarithmic expression as a single logarithm with coefficient 1 , and simplify as much as possible. Assume that the variables represent positive real numbers.
$9 \log_{2} x - 8 \log_{2} y - 3 \log_{2} z = ◻$
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Answer

Final Answer: $\log_{2} (\frac{x^{9}}{y^{8} \cdot z^{3}})$

Steps

Step 1 ：Applying the power rule to the logarithmic expression, we get: $\log_{2} x^{9} - \log_{2} y^{8} - \log_{2} z^{3}$

Step 2 ：Now, we can apply the quotient rule to combine these logarithms into a single logarithm: $\log_{2} (\frac{x^{9}}{y^{8} \cdot z^{3}})$

Step 3 ：So, the simplified expression is $\log_{2} (\frac{x^{9}}{y^{8} \cdot z^{3}})$

Step 4 ：Final Answer: $\log_{2} (\frac{x^{9}}{y^{8} \cdot z^{3}})$