Simplify the Equation (m - M) + 5 = 5(log d) for Easy Understanding

Thread starter Aftermarth
Start date Nov 3, 2007
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AI Thread Summary

To isolate d in the equation (m - M) + 5 = 5(log d), the transformation leads to d = 10^(((m - M) + 5) / 5). This calculation assumes the logarithm is base 10, which is standard for this equation related to distance from absolute and apparent magnitude. The confirmation of using base 10 is crucial for accuracy. Overall, the derived formula provides a clear method for calculating distance based on the given magnitudes.

Nov 3, 2007

Aftermarth

ok i want d the subject in:
m - M = 5 (log d) - 5

ok now.
(m - M) + 5 = 5(log d)

((m - M) + 5) / 5 = log d

d = 10 ^ ((m - M) +5) / 5)

is that right?

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Nov 3, 2007

Avodyne

Science Advisor

Yes, assuming the log is base 10.

Nov 3, 2007

Aftermarth

yes I am pretty sure it is. everything i have seen on the equation (its the equation to work out distance from absolute and apparent magnitude) has nothing other than base 10. so assuming base 10 cool :D

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