SOLUTION: The function p(x)=14.7e^-0.21x models the average atmospheric pressure, P(x), in pounds per square inch, at an altitude of x miles above sea level. The atmospheric pressure at t

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Question 1073658: The function p(x)=14.7e^-0.21x models the average atmospheric pressure, P(x), in pounds per square inch, at an altitude of x miles above sea level.
The atmospheric pressure at the peak of Mt.Everest is 4.6 pounds per square inch. How many miles above sea level, to the nearest tenth of a mile, is the peak of Mt.Everest?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
p=14.7e%5E%28-0.21x%29
ln%28p%29=ln%2814.7%29-0.21x%2Aln%28e%29
ln%28p%29-ln%2814.7%29=-0.21x
0.21x=ln%2814.7%29-ln%28p%29
x=%28ln%2814.7%2Fp%29%29%2F0.21

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p=4.6, find x.

x=%281%2F0.21%29ln%2814.7%2F4.6%29

5.5 miles