What unit of measurement is a tenfold logarithmic ratio of power output to power input?

The unit of measurement for a tenfold logarithmic ratio of power output to power input is the decibel (dB). Specifically, this is often expressed as decibels relative to a reference power level, using the formula: ( L = 10 \log_{10} \left( \frac{P_{\text{output}}}{P_{\text{input}}} \right) ). In this context, an increase of 10 dB represents a tenfold increase in power.