Log-Rythms

Algebra Level 2

If log ⁡ 10 [ log ⁡ 10 ( log ⁡ 10 x ) ] = 0 \log _{ 10 }{ \left[ \log _{ 10 }{ \left( \log _{ 10 }{ x } \right) } \right] } =0 , then x = ? x=?

10 5 { 10 }^{ 5 } None of these 10 10 { 10 }^{ 10 } 10 3 { 10 }^{ 3 }

Siddharth Singh by Siddharth Singh , 23, India

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1 solution

Working backwards, we get l o g 10 ( l o g 10 x ) = 1 log_{10}(log_{10}x)=1

l o g 10 x = 10 log_{10}x=10

x = 1 0 10 x=10^{10}

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