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Math - Logorithms

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The intensity, I, of light, in lumens, passing through the glass of a pair of sunglasses if given by the equation I(x) = I^o(0.8)^x, where x is the thickness of the glass, in millimeters, and I^o is the intensity of light entering the glasses. How thick should the glass be so that it will block 25% of the light entering the sunglasses?

  • Math - Logorithms -

    We want

    I^o(.25) = I^o(.8)^x
    .25 = .8^x
    ln.25 = x*ln.8
    x = ln.25/ln.8 = 6.21

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