20=2*exp(x*ln(50))

Solution for 20=2*exp(x*ln(50)) equation:

Simplifying
20 = 2exp(x * ln(50))

Reorder the terms for easier multiplication:
20 = 2epx(50x * ln)

Multiply x * ln
20 = 2epx(50lnx)

Remove parenthesis around (50lnx)
20 = 2epx * 50lnx

Reorder the terms for easier multiplication:
20 = 2 * 50epx * lnx

Multiply 2 * 50
20 = 100epx * lnx

Multiply epx * lnx
20 = 100elnpx2

Solving
20 = 100elnpx2

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-100elnpx2' to each side of the equation.
20 + -100elnpx2 = 100elnpx2 + -100elnpx2

Combine like terms: 100elnpx2 + -100elnpx2 = 0
20 + -100elnpx2 = 0

Add '-20' to each side of the equation.
20 + -20 + -100elnpx2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -100elnpx2 = 0 + -20
-100elnpx2 = 0 + -20

Combine like terms: 0 + -20 = -20
-100elnpx2 = -20

Divide each side by '-100lnpx2'.
e = 0.2l-1n-1p-1x-2

Simplifying
e = 0.2l-1n-1p-1x-2