How do I convert luminosity to magnitude?

[the riddick25]

I am trying to find out how fast a star's magnitude changes over time, and have two columns of data.
The first is the time since the stay left the main sequence, and the second is Log (L/L_sun).

I am unsure as to how to chance the luminosity values into magnitudes, which means I can't answer the question.

I thought it might be m=2.5 log L but I don't know if this is correct or not.

If anyone can help it would be greatly appreciated

Thanks :D

 

[Uniquebum]

Depends whether you want apparent or absolute magnitude.
For apparent the formula would be
m_1 - m_2 = -2.5 \log{\frac{L_1}{L_2}}

 

[the riddick25]

But I'm not given actual luminosities, I've been given Log (L/L_sun)
so for example one of my values is 4.4799, how would i turn this into a magnitude?

And yes, I was looking for an apparent magnitude, forgot to mention it in my first post

 

[Uniquebum]

m_1 = m_{sun} - 2.5\log{\frac{L}{L_{sun}}}
where m_{sun} = –26.74

So for the value you gave you'd get
m_1 = -26.74 - 2.5*4.4799
which gives a pretty high magnitude as the lower the magnitude, the brighter the object.