<PRE><B>Question 548116</B>
Magnitude of a star is modeled by M=6-5/2logI/Isubscript o.
Determine the ratio of light intensities between a star of magnitude 1 and a star of magnitude 3.
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M = 6-[5/[2log(I/Io)]]
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Mag 1: 1 = 6-[5/[2log(I/Io)]]
-5 = - [5/[2log(I/Io)]]
1 = 1/[2log(I/Io)]
2log(I/Io) = 1
log(I/Io) = 1/2
I/Io = 10^(1/2)
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I = sqrt(10)Io
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Mag 3: 3 = 6-[5/[2log(I/Io)]]
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3/5 = [1/[2log(I/Io)]]
6log(I/Io) = 5
log(I/Io) = 5/6
I/Io = 10^(5/6)
I = 10^(5/6)Io
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Cheers,
Stan H.
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