Please solve the problem showing clearsteps not just the answer. Thank you.
In a distant galaxy, a star explodes as a supernova. The maximum luminosity of the supernova is Lmaz = 10¹3 L. What is the maximum distance of the galaxy hosting a supernova, for which we could still see the explosion with naked eye? Assume the limiting magnitude an eye can still detect is 6 and that the light is not absorbed between the supernova and the Earth. The absolute magnitude of the Sun is 4.83.
Please solve the problem showing clear steps not just the answer. Thank you.
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