Some Comments about Magnitude and Redshift

The bolometric (apparent) magnitude:

$$\begin{eqnarray*}m &=& -2.5\log_{10}\left(\frac{S}{2.52}\times10^{-5}\,\frac{\te... ...rm{Constant} \\ &=& 5.0\log_{10} R + \textrm{Another Constant} \end{eqnarray*}$$

If R = z / H₀ then

$$\begin{eqnarray*}m &=& 5.0 \log_{10} R + \textrm{Constant} \\ &=& 5.0 \log_{10... ...10} z + \textrm{Yet another Constant that has $H_0$\space in it} \end{eqnarray*}$$