Problem

(a) If $\log _{2} x=9$, then $x=$

Answer

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Answer

So, the final answer is \(\boxed{512}\).

Steps

Step 1 :Given that \(\log _{2} x=9\), we need to find the value of x.

Step 2 :This can be rewritten as \(x = 2^9\) according to the definition of logarithms.

Step 3 :Calculating \(2^9\), we get x = 512.

Step 4 :So, the final answer is \(\boxed{512}\).

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