# A star has apparent magnitude 10.0 and absolute magnitude 2.5. How far away is it in parsecs?

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### 1 Answer

apparent magnitude (m) = 10.0

absolute magnitude (M) = 2.5

Distance can be determined by the formula:

`` `d=10pc * x^(m+n)`

This yields `10*10^((10-2.5)/5)`

This equals `10*10^1.5` = 316.228 = `3.16 * 10^2`

**The distance in parsecs is 3.16 x `10^2` .**