Understanding Magnitude

The magnitude scale is logarithmic. A difference of 5 magnitudes corresponds to a factor of 100 in brightness.

Calculating the Brightness Difference

1. Magnitude Difference: The difference in magnitude is 15.4 - 13.4 = 2.0.

2. Brightness Ratio: Since a 5 magnitude difference is a factor of 100 in brightness, a 2 magnitude difference is a factor of 100^(2/5) ≈ 6.31.

Conclusion:

A star with an apparent visual magnitude of 13.4 is approximately 6.31 times brighter than a star with an apparent visual magnitude of 15.4.