An expression for a dimensionless quantity \( P \) is given by \( P=\frac{\alpha}{\beta} \log _{...

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An expression for a dimensionless quantity \( P \) is given by \( P=\frac{\alpha}{\beta} \log _{e}\left(\frac{k t}{\beta x}\right) \); where \( \alpha \) and \( \beta \) are constants, \( x \) is distance \( k \) is Boltzmann constant and \( t \) is the temperature. Then the dimensions of math xmlns=http://www.w3.org/1998/Math/MathMLmiα/mi/math will be
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