The brightness of celestial objects usually is expressed in terms of magnitude. A first magnitude star is defined as being 100 times brighter than a sixth magnitude star. A single magnitude jump equals a brightness change of about 2.512. Using the factor of 2.512 for a single magnitude jump, about how many magnitudes fainter can a 203 mm Objective "see" than the smaller 50 mm objective? round to the nearest whole number

The brightness of celestial objects usually is expressed in terms of magnitude. A first magnitude star is defined as being 100 times brighter than a sixth magnitude star. A single magnitude jump equals a brightness change of about 2.512. Using the factor of 2.512 for a single magnitude jump, about how many magnitudes fainter can a 203 mm Objective "see" than the smaller 50 mm objective? round to the nearest whole number