Log to the base log

Algebra Level 1

log log 3 9 8 = ? \Large { \color{#20A900}{ \log _{ \color{#69047E}{ \log _{ 3 }{ 9 } } }{ 8 } = \, ? } }


The answer is 3.

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1 solution

Mateus Gomes
Feb 18, 2016

log log 3 9 8 = \large{ \color{#20A900}{ \log _{ \color{#69047E}{ \log _{ 3 }{ 9 } } }{ 8 } \quad =\quad } } log 2 log 3 3 8 = \large{ \color{#20A900}{ \log _{ \color{#69047E}{ 2\log _{ 3 }{ 3 } } }{ 8 } \quad =\quad } } log 2 ( 2 ) 3 = 3 \large{\log_{2} {(2)^3}}=\color{#3D99F6}{3}

Or you could do it directly. That's also a thing.

Whitney Clark - 5 years, 3 months ago

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