The relationship between the change in exposure c and the change in the required number of stops n is 2.3219.
According to shutter speed, lens F-number, and scene luminance, exposure in photography refers to the amount of light per unit area that reaches a frame of photographic film or the surface of an electronic image sensor.
n = number of stops
c = alteration in exposure
n = log₂C ----- (1)
Suppose n₁ is the number of stops required to triple the exposure.
n₁ = log₂(3C) ⇒ n₁ = log₂3 + log₂C ----- (2)
Utilizing (1) in (2)
n₁ = n + log₂3 = n + 1.5850
Consequently, we must raise the number of stops by 1.585 ≅ 1.6
(b) Similarly, changing C by c/5 will give exposure
n₁ = log₂(c/5) ⇒ n₁ = log₂C - log₂5
n₁ = n - log₂5 = n - 2.3219
The required reduction in stops is 2.3219
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