An algebra problem by A Former Brilliant Member

Algebra Level 2

What is the value of the following statement?

log log 2 8 log 2 8 \log_{\log_{2}{8}}{\log_{2}{8}}


The answer is 1.

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1 solution

Geoff Taylor
Jan 9, 2018

log log 2 8 log 2 8 = log 3 3 = 1 \log _{ \log _{ 2 }{ 8 } }{ \log _{ 2 }{ 8\quad =\log _{ 3 }{ 3=1 } } }

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