Not a chemist, and had to look up the definition again.
pH is defined as the negative of the log of the H+ concentration in moles per litre. So effectively the concentration is divided by 1 mol/L, making it dimensionless, and then converted to a log scale.
Similarly, to get sound volume in decibels, it’s divided by the softest audible sound in watts per square metre, also making it dimensionless before converting to a log scale.
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