This looks like a classical schoolbook differentialequation solution.
To make h the subject, you need to use the natural logarithm.
2.)how do i transpose the following equation to make h the subject,
if a hot air ballon is subjected to an air pressure at a altitude h of 70.129kPa
the atmostpheric pressure at sea level P0 is 101.325kPa
and coefficient k is -8152
find the height from the sea level, of the hot air balloon.