5=3e^7x

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Solution for 5=3e^7x equation:


Simplifying
5 = 3e7x

Solving
5 = 3e7x

Solving for variable 'e'.

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

Add '-3e7x' to each side of the equation.
5 + -3e7x = 3e7x + -3e7x

Combine like terms: 3e7x + -3e7x = 0
5 + -3e7x = 0

Add '-5' to each side of the equation.
5 + -5 + -3e7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3e7x = 0 + -5
-3e7x = 0 + -5

Combine like terms: 0 + -5 = -5
-3e7x = -5

Divide each side by '-3x'.
e7 = 1.666666667x-1

Simplifying
e7 = 1.666666667x-1

Combine like terms: 1.666666667x-1 + -1.666666667x-1 = 0.000000000
e7 + -1.666666667x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + -1.666666667) = 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 '(e7x + -1.666666667)' equal to zero and attempt to solve: Simplifying e7x + -1.666666667 = 0 Reorder the terms: -1.666666667 + e7x = 0 Solving -1.666666667 + e7x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.666666667' to each side of the equation. -1.666666667 + 1.666666667 + e7x = 0 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + e7x = 0 + 1.666666667 e7x = 0 + 1.666666667 Combine like terms: 0 + 1.666666667 = 1.666666667 e7x = 1.666666667 Divide each side by 'x'. e7 = 1.666666667x-1 Simplifying e7 = 1.666666667x-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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