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Suppose you can just barely see a magnitude 17 (m=17) star through an amateur's 6-inch diameter...

Suppose you can just barely see a magnitude 17 (m=17) star through an amateur's 6-inch diameter telescope. Estimate the magnitude of the dimmest star you will be able to see through a 60 inch telescope.

(The formulas I have are m2-m1=2.5log(F1/F2), and F=L/(4πD^2). m=magnitude, F=flux, L=luminosity, and D=distance

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