Exponents #6

Algebra Level 2

\[\large { \left( \dfrac { 4 }{ 9 } \right) }^{ x }\times { \left( \dfrac { 27 }{ 8 } \right) }^{ x-1 }=\dfrac { \log { 4 } }{ \log { 8 } } \]

Find the value of \(x\) satisfying the above equation.

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