SOLUTION: Atmospheric pressure P (in kilopascals, kPa) at altitude h (in kilometers, km) is governed by the formula ln(P/P0 = -h/k where k = 7 and P0 = 100 kPa are constants. Solve

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Atmospheric pressure P (in kilopascals, kPa) at altitude h (in kilometers, km) is governed by the formula ln(P/P0 = -h/k where k = 7 and P0 = 100 kPa are constants. Solve      Log On


   

Question 1040454: Atmospheric pressure P (in kilopascals, kPa) at altitude h (in kilometers, km) is governed by the formula
ln(P/P0 = -h/k
where k = 7 and P0 = 100 kPa are constants.
Solve the equation for P.
I got 100e^{-k/7} WRONG!!!
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
Atmospheric pressure P (in kilopascals, kPa) at altitude h (in kilometers, km) is governed by the formula
ln(P/P0 = -h/k
where k = 7 and P0 = 100 kPa are constants.
Solve the equation for P.
I got 100e^{-k/7} WRONG!!!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

P%2FP0 = e%5E%28-%28h%2F7%29%29,

P = P0%2Ae%5E%28-h%2F7%29 = 100%2Ae%5E%28-h%2F7%29 kPa.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
ln(P/P0 = -h/k
where k = 7 and P0 = 100 kPa are constants.
Solve the equation for P.
-----------
ln(P/P0) = -h/k
ln(P/100) = -h/7
P/100 = e^(-h/7)
P = 100*e^(-h/7)