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Home » If \( \log_2(x) = 5 \), what is \( x \)? - Belip

If \( \log_2(x) = 5 \), what is \( x \)? - Belip

📅 May 7, 2026 👤 scraface

May 07, 2026

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Note that by the well-known inequality:
with equality if and only if $ a = b = c $. Therefore,
and also equals 3 when $ a = b = c $.
Now, suppose $ a = b = c $. Let $ a = b = c = k > 0 $. Then:
We now show this is the minimum. Consider the inequality:
Wait — this gives an upper bound on the ratio, but we need a lower bou...
But we need a uniform lower bound. Try using:
This path is messy. Instead, return to symmetry.
Compute derivative or plug in $ t = 1 $:
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