# Basic loggin' 2

Algebra Level 3

Given that $$\log _{ 2 }{ x } =3$$, find the value of the expression below:

$$A=\frac { 1 }{ \log _{ 3 }{ 2 } \times \log _{ 4 }{ 3 } \times \log _{ 5 }{ 4 } \times \log _{ 6 }{ 5 } \times \log _{ 7 }{ 6 } \times \log _{ x }{ 7 } }$$

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