The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential equation dL/dx=-kL. From experience, a diver knows that diving to 19 ft in a sea cuts the intensity in half. He cannot work without artifical light when the intensity falls below one-fifth of the surface value. About how deep can he expect to work without artifical light?  round to the nearest tenth

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
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The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential equation dL/dx=-kL. From experience, a diver knows that diving to 19 ft in a sea cuts the intensity in half. He cannot work without artifical light when the intensity falls below one-fifth of the surface value. About how deep can he expect to work without artifical light? 

round to the nearest tenth

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