3e^5x-4=19

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Solution for 3e^5x-4=19 equation:


Simplifying
3e5x + -4 = 19

Reorder the terms:
-4 + 3e5x = 19

Solving
-4 + 3e5x = 19

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 + 3e5x = 19 + 4

Combine like terms: -4 + 4 = 0
0 + 3e5x = 19 + 4
3e5x = 19 + 4

Combine like terms: 19 + 4 = 23
3e5x = 23

Divide each side by '3x'.
e5 = 7.666666667x-1

Simplifying
e5 = 7.666666667x-1

Combine like terms: 7.666666667x-1 + -7.666666667x-1 = 0.000000000
e5 + -7.666666667x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -7.666666667) = 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 '(e5x + -7.666666667)' equal to zero and attempt to solve: Simplifying e5x + -7.666666667 = 0 Reorder the terms: -7.666666667 + e5x = 0 Solving -7.666666667 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '7.666666667' to each side of the equation. -7.666666667 + 7.666666667 + e5x = 0 + 7.666666667 Combine like terms: -7.666666667 + 7.666666667 = 0.000000000 0.000000000 + e5x = 0 + 7.666666667 e5x = 0 + 7.666666667 Combine like terms: 0 + 7.666666667 = 7.666666667 e5x = 7.666666667 Divide each side by 'x'. e5 = 7.666666667x-1 Simplifying e5 = 7.666666667x-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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