At what depth will intensity be decreased by the factor


According to Lambert's law of absorption, percentage absorption of light (delta)I/I is proportional to thickness delta(z) of the thin layer of medium light is passing through. Assume sunlight shining vertical on water loses its intensity by the factor of half at 10 ft below water surface. At what depth will intensity be decreased by the factor 1/16 (essentially dark)?

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Mathematics: At what depth will intensity be decreased by the factor
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