Two stars have the same luminosity, but star a is 10.0 times farther away than star b. how much fainter does star a appear compared to star b? times fainter

B(A)100=B(B), the star A is 100 times fainter than star B.

Explanation:

Brightness of the star is defined by the formula,

Here, L is the luminosity and d is the distance.

For star A, the distance is 10d. The brightness of star A.

For star B, the distance is d. The brightness of star B.

Now according to the question luminosity of two stars is equal.

Therefore,

So, star B is 100 times brighter than star A.

Therefore the star A is 100 times fainter than star B.