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When Is This Logarithm Inequality True?

Algebra

True or False?

For all positive integers $n \geq 2$ ,

$\log_{10} (n-1) + \log_{10} (n+1) < 2 \log_{10} n.$

True only if

n \leq 10

False always True only if

n \leq 100

True always

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by Chung Kevin

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