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Home » A_\textremaining = \pi (4)^2 = 16\pi \text square centimeters. - AMAZONAWS

A_\textremaining = \pi (4)^2 = 16\pi \text square centimeters. - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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Since $ abc = 1 $, we can assume $ a = rac{x}{y} $, $ b = rac{y}{z}...
a + b + c \geq 3\sqrt[3]{abc} = 3.
Equality occurs when $ a = b = c = 1 $, i.e., when $ x = y = z $.
Now consider the second term:
\log\left(b + rac{1}{b}
ight) \geq \log(2),
with equality when $ b = 1 $, i.e., $ y = z $.
Thus, the minimum value of the entire expression is
- \log(2).
This value is achievable when $ x = y = z $, so the minimum is

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