e^2x-4=.916

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Solution for e^2x-4=.916 equation:


Simplifying
e2x + -4 = 0.916

Reorder the terms:
-4 + e2x = 0.916

Solving
-4 + e2x = 0.916

Solving for variable 'e'.

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

Add '4' to each side of the equation.
-4 + 4 + e2x = 0.916 + 4

Combine like terms: -4 + 4 = 0
0 + e2x = 0.916 + 4
e2x = 0.916 + 4

Combine like terms: 0.916 + 4 = 4.916
e2x = 4.916

Divide each side by 'x'.
e2 = 4.916x-1

Simplifying
e2 = 4.916x-1

Combine like terms: 4.916x-1 + -4.916x-1 = 0.000
e2 + -4.916x-1 = 0.000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -4.916) = 0.000

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 '(e2x + -4.916)' equal to zero and attempt to solve: Simplifying e2x + -4.916 = 0 Reorder the terms: -4.916 + e2x = 0 Solving -4.916 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '4.916' to each side of the equation. -4.916 + 4.916 + e2x = 0 + 4.916 Combine like terms: -4.916 + 4.916 = 0.000 0.000 + e2x = 0 + 4.916 e2x = 0 + 4.916 Combine like terms: 0 + 4.916 = 4.916 e2x = 4.916 Divide each side by 'x'. e2 = 4.916x-1 Simplifying e2 = 4.916x-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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