Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below. P(h)=P_o•e^-0.00012h

In this function, Po is the air pressure at the surface of the Earth, and h is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 65% of the air pressure at the surface of the Earth?

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

your mom

step-by-step explanation: