13=2e^13x

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Solution for 13=2e^13x equation:


Simplifying
13 = 2e13x

Solving
13 = 2e13x

Solving for variable 'e'.

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

Add '-2e13x' to each side of the equation.
13 + -2e13x = 2e13x + -2e13x

Combine like terms: 2e13x + -2e13x = 0
13 + -2e13x = 0

Add '-13' to each side of the equation.
13 + -13 + -2e13x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2e13x = 0 + -13
-2e13x = 0 + -13

Combine like terms: 0 + -13 = -13
-2e13x = -13

Divide each side by '-2x'.
e13 = 6.5x-1

Simplifying
e13 = 6.5x-1

Combine like terms: 6.5x-1 + -6.5x-1 = 0.0
e13 + -6.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e13x + -6.5) = 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 '(e13x + -6.5)' equal to zero and attempt to solve: Simplifying e13x + -6.5 = 0 Reorder the terms: -6.5 + e13x = 0 Solving -6.5 + e13x = 0 Move all terms containing e to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + e13x = 0 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + e13x = 0 + 6.5 e13x = 0 + 6.5 Combine like terms: 0 + 6.5 = 6.5 e13x = 6.5 Divide each side by 'x'. e13 = 6.5x-1 Simplifying e13 = 6.5x-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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