20=5.46*EXP(4.21*x)

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Solution for 20=5.46*EXP(4.21*x) equation:


Simplifying
20 = 5.46EXP(4.21x)

Remove parenthesis around (4.21x)
20 = 5.46EPX * 4.21x

Reorder the terms for easier multiplication:
20 = 5.46 * 4.21EPX * x

Multiply 5.46 * 4.21
20 = 22.9866EPX * x

Multiply EPX * x
20 = 22.9866xEPX

Solving
20 = 22.9866xEPX

Solving for variable 'x'.

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

Add '-22.9866xEPX' to each side of the equation.
20 + -22.9866xEPX = 22.9866xEPX + -22.9866xEPX

Combine like terms: 22.9866xEPX + -22.9866xEPX = 0.0000
20 + -22.9866xEPX = 0.0000

Add '-20' to each side of the equation.
20 + -20 + -22.9866xEPX = 0.0000 + -20

Combine like terms: 20 + -20 = 0
0 + -22.9866xEPX = 0.0000 + -20
-22.9866xEPX = 0.0000 + -20

Combine like terms: 0.0000 + -20 = -20
-22.9866xEPX = -20

Divide each side by '-22.9866EPX'.
x = 0.870072129E-1P-1X-1

Simplifying
x = 0.870072129E-1P-1X-1

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