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Suppose you can just barely see a twelfth-magnitude star through an amateur's 6-inch telescope. What is...

Suppose you can just barely see a twelfth-magnitude star through an amateur's 6-inch telescope. What is the magnitude of the dimmest star you could see through a 60-inch telescope.

(Hint: first calculate how many times more light gathering power the 60-inch telescope has compared to the 6-inch telescope)

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