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working out the distances of galaxies using O type stars.

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M = m + 5 - 5*logd (where d is in parsecs)

Read off M from the Hertzsprung-Russell diagram for an O class star

m = 15

Plug the numbers in, rearrange for d = and hey presto, you have a distance...

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This sounds like a homework question...

As above, there's not really enough information to solve accurately as O type main sequence stars have a range of absolute magnitudes (range ~ 2 mags).

Photogav's answer is the way you'd do it though, for this type of question, at least for non-cosmological distances.

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