19=2e^4x

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Solution for 19=2e^4x equation:


Simplifying
19 = 2e4x

Solving
19 = 2e4x

Solving for variable 'e'.

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

Add '-2e4x' to each side of the equation.
19 + -2e4x = 2e4x + -2e4x

Combine like terms: 2e4x + -2e4x = 0
19 + -2e4x = 0

Add '-19' to each side of the equation.
19 + -19 + -2e4x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2e4x = 0 + -19
-2e4x = 0 + -19

Combine like terms: 0 + -19 = -19
-2e4x = -19

Divide each side by '-2x'.
e4 = 9.5x-1

Simplifying
e4 = 9.5x-1

Combine like terms: 9.5x-1 + -9.5x-1 = 0.0
e4 + -9.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -9.5) = 0.0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(e4x + -9.5)' equal to zero and attempt to solve: Simplifying e4x + -9.5 = 0 Reorder the terms: -9.5 + e4x = 0 Solving -9.5 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + e4x = 0 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + e4x = 0 + 9.5 e4x = 0 + 9.5 Combine like terms: 0 + 9.5 = 9.5 e4x = 9.5 Divide each side by 'x'. e4 = 9.5x-1 Simplifying e4 = 9.5x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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