In the Natural Units environment, the arguments for the logarithmic functions can be unit-free, or multiplied by a unit that is energy-equivalent to a rational power of the dimension length(base)/length. Examples of such units are watt/watt(base) (power ratio) or voltage/voltage(base) (voltage ratio).

By default, the unit of the object returned is the nepers.

For other properties, see the global function ln.

$\mathrm{with}\left(\mathrm{Units}\left[\mathrm{Natural}\right]\right)\:$

$\mathrm{VR}≔\ln \left(\frac{5.32\mathrm{volts}}{\mathrm{volts}\left(\mathrm{base}\right)}\right)$

$\mathrm{VR}≔1.671473303⟦\mathrm{Np}⟧$

$\mathrm{PR}≔\ln \left(\frac{5.32\mathrm{watts}}{\mathrm{watts}\left(\mathrm{base}\right)}\right)$

$\mathrm{PR}≔0.8357366515⟦\mathrm{Np}⟧$

$\mathrm{dbls}≔\mathrm{map}\left(\mathrm{convert}\,\left[\mathrm{VR}\,\mathrm{PR}\right]\,'\mathrm{units}'\,\mathrm{dB}\right)$

$\mathrm{dbls}≔\left[14.51823264⟦\mathrm{dB}⟧\,7.259116321⟦\mathrm{dB}⟧\right]$

$\mathrm{convert}\left(\frac{\mathrm{volts}}{\mathrm{volts}\left(\mathrm{base}\right)}\,'\mathrm{dimensions}'\,'\mathrm{energy}'\right)$

$\frac{\mathrm{length}\left(\mathrm{base}\right)}{\mathrm{length}}$

$\mathrm{convert}\left(\frac{\mathrm{watts}}{\mathrm{watts}\left(\mathrm{base}\right)}\,'\mathrm{dimensions}'\,'\mathrm{energy}'\right)$

$\frac{{\mathrm{length}\left(\mathrm{base}\right)}^2}{{\mathrm{length}}^2}$

$\mathrm{map}\left(\exp \,\mathrm{dbls}\right)$

$\left[5.319999998⟦\frac{m\left(\mathrm{base}\right)}{m}⟧\,2.306512518⟦\frac{m\left(\mathrm{base}\right)}{m}⟧\right]$

The Units[Natural][log2] command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.