The expression below is used in psychrometric calculations to find dew point temperature ($T$) as a function of it's saturated vapor pressure($A$).
I am trying to reverse the equation to find the saturated vapor pressure ($A$) if the dew point temperature ($T$) is known.
I am trying to determine the value of "A" in terms of $T, x_1, x_2, x_3, x_4, $ and $x_5$
Knowns: $T, x_1, x_2, x_3, x_4, x_5$
Unknowns: $A$
$T = x1 + (Ax_2) + (A^2x_3) + (A^3x_4) + (x_5 * ({e^A}^{0.1984}))$
The part that boggles my mind is at the end, I cannot figure out how to simplify the expression if the polynomial is inside the exponent.
Any help would be appreciated.