What is the magnitude of a star that appears twice as bright as a 3.0 magnitude star?

Question

Quizplus · Accepted Answer

The magnitude scale is logarithmic, with a difference of 5 magnitudes corresponding to a brightness factor of 100. A difference of 1 magnitude corresponds to a brightness factor of approximately 2.512. To find the magnitude that appears twice as bright as a 3.0 magnitude star, we can use the formula $m_1 - m_2 = -2.5 \log_{10}(B_1/B_2)$, where $B_1/B_2 = 2$. Solving for $m_1$ gives a magnitude of approximately 2.25.

What Is the Magnitude of a Star That Appears Twice