How can we see the moon if it's so far away?

Most astronomers agree that the most distant thing a person with excellent vision but without a telescope can see is the huge Andromeda Galaxy which is about two and one half million light years away.
That's fairly close astronomically speaking.
 
Because, double the distance, you get 1/4 the light

Light intensity decreases with distance from source to receiving surface (sink), and the rate of decrease is in proportion to the square of the distance between emitter and receiver. This is called the Inverse Square Law.

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