My 15th Problem

Algebra Level 4

22(log104x)17log104x=7(log104x)13×4log104x \large { 2 }^{ 2 (\log _{ 10 }{ 4x}) -1 }-{ 7 }^{ \log _{ 10 }{ 4x } }={ 7 }^{ (\log _{ 10 }{ 4x} ) -1 }-3 \times { 4 }^{ \log _{ 10 }{ 4x } }

What is the value of xx satisfying the equation above?

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