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2x+2x+1+2x+2+2x+3=3x+3x+1+3x+2+3x+3\large { 2 }^{ x }+{ 2 }^{ x+1 }+{ 2 }^{ x+2 }+{ 2 }^{ x+3 }={ 3 }^{ x }+{ 3 }^{ x+1 }+{ 3 }^{ x+2 }+{ 3 }^{ x+3 }2x+2x+1+2x+2+2x+3=3x+3x+1+3x+2+3x+3
Given the equation above, xxx can be written in the form x=logba.x=\log _{ b }{ a }.x=logba. If b=23,b=\frac{2}{3},b=32, find the value of ab\sqrt { \frac { a }{ b } } ba.
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