e^2x=13

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Solution for e^2x=13 equation:


Simplifying
e2x = 13

Solving
e2x = 13

Solving for variable 'e'.

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

Divide each side by 'x'.
e2 = 13x-1

Simplifying
e2 = 13x-1

Combine like terms: 13x-1 + -13x-1 = 0
e2 + -13x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -13) = 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 '(e2x + -13)' equal to zero and attempt to solve: Simplifying e2x + -13 = 0 Reorder the terms: -13 + e2x = 0 Solving -13 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + e2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + e2x = 0 + 13 e2x = 0 + 13 Combine like terms: 0 + 13 = 13 e2x = 13 Divide each side by 'x'. e2 = 13x-1 Simplifying e2 = 13x-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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