What is the difference in magnitude between two stars with varying distances?

[stardrop]

Homework Statement

One star is intrinsically 100 times brighter than the other. If the brighter star is twice as far away as the dimmer star, what is the difference in their m values and their M values.

Homework Equations

None were given.

The Attempt at a Solution

The equation I've been using most frequently in this problem set is M + m = 5 - 5logd, but I'm not really sure how or even if I can apply it here, since this problem is reverse of what I've been given so far. Usually I have magnitudes and am asked to find the distance.

Any help you can offer will be greatly appreciated.

 

[Kurdt]

The difference in magnitude between two stars given their brightness is thus:

$$m_2-m_1=2.5 \log(\frac{b_1}{b_2})$$

This relates to apparent brightness and apparent magnitude.

 

[stardrop]

Thanks for your help!