Question

Вывести T из равенства

$frac{P}{Po} = (frac{T}{To} )^{frac{-g}{k*R} }$

Answer 1

$frac{P}{P_{0}}=(frac{T}{T_{0}})^{frac{-g}{k*R}} Leftrightarrow (frac{P}{P_{0}})^{frac{k*R}{-g}}=((frac{T}{T_{0}})^{frac{-g}{k*R}})^{frac{k*R}{-g}} Leftrightarrow frac{T}{T_{0}}=(frac{P}{P_{0}})^{frac{k*R}{-g}} Leftrightarrow T=T_{0}*(frac{P}{P_{0}})^{frac{k*R}{-g}}$