13=6e^3x

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Solution for 13=6e^3x equation:


Simplifying
13 = 6e3x

Solving
13 = 6e3x

Solving for variable 'e'.

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

Add '-6e3x' to each side of the equation.
13 + -6e3x = 6e3x + -6e3x

Combine like terms: 6e3x + -6e3x = 0
13 + -6e3x = 0

Add '-13' to each side of the equation.
13 + -13 + -6e3x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6e3x = 0 + -13
-6e3x = 0 + -13

Combine like terms: 0 + -13 = -13
-6e3x = -13

Divide each side by '-6x'.
e3 = 2.166666667x-1

Simplifying
e3 = 2.166666667x-1

Combine like terms: 2.166666667x-1 + -2.166666667x-1 = 0.000000000
e3 + -2.166666667x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -2.166666667) = 0.000000000

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 '(e3x + -2.166666667)' equal to zero and attempt to solve: Simplifying e3x + -2.166666667 = 0 Reorder the terms: -2.166666667 + e3x = 0 Solving -2.166666667 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.166666667' to each side of the equation. -2.166666667 + 2.166666667 + e3x = 0 + 2.166666667 Combine like terms: -2.166666667 + 2.166666667 = 0.000000000 0.000000000 + e3x = 0 + 2.166666667 e3x = 0 + 2.166666667 Combine like terms: 0 + 2.166666667 = 2.166666667 e3x = 2.166666667 Divide each side by 'x'. e3 = 2.166666667x-1 Simplifying e3 = 2.166666667x-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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