7e^4x+3=13

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Solution for 7e^4x+3=13 equation:


Simplifying
7e4x + 3 = 13

Reorder the terms:
3 + 7e4x = 13

Solving
3 + 7e4x = 13

Solving for variable 'e'.

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

Add '-3' to each side of the equation.
3 + -3 + 7e4x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 7e4x = 13 + -3
7e4x = 13 + -3

Combine like terms: 13 + -3 = 10
7e4x = 10

Divide each side by '7x'.
e4 = 1.428571429x-1

Simplifying
e4 = 1.428571429x-1

Combine like terms: 1.428571429x-1 + -1.428571429x-1 = 0.000000000
e4 + -1.428571429x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -1.428571429) = 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 '(e4x + -1.428571429)' equal to zero and attempt to solve: Simplifying e4x + -1.428571429 = 0 Reorder the terms: -1.428571429 + e4x = 0 Solving -1.428571429 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.428571429' to each side of the equation. -1.428571429 + 1.428571429 + e4x = 0 + 1.428571429 Combine like terms: -1.428571429 + 1.428571429 = 0.000000000 0.000000000 + e4x = 0 + 1.428571429 e4x = 0 + 1.428571429 Combine like terms: 0 + 1.428571429 = 1.428571429 e4x = 1.428571429 Divide each side by 'x'. e4 = 1.428571429x-1 Simplifying e4 = 1.428571429x-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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