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Apparent magnitude
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=== Example: Sun and Moon === ''What is the ratio in brightness between the [[Sun]] and the full [[Moon]]?'' The apparent magnitude of the Sun is β26.832<ref name="IAU2015B2"/> (brighter), and the mean magnitude of the [[full moon]] is β12.74<ref name="moon-fact" /> (dimmer). Difference in magnitude: <math display="block"> x = m_1 - m_2 = (-12.74) - (-26.832) = 14.09. </math> Brightness factor: <math display="block"> v_b = 10^{0.4 x} = 10^{0.4 \times 14.09} \approx 432\,513. </math> The Sun appears to be approximately {{val|400000}} times as bright as the full Moon.
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