e^8x+3=19

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Solution for e^8x+3=19 equation:


Simplifying
e8x + 3 = 19

Reorder the terms:
3 + e8x = 19

Solving
3 + e8x = 19

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 + e8x = 19 + -3

Combine like terms: 3 + -3 = 0
0 + e8x = 19 + -3
e8x = 19 + -3

Combine like terms: 19 + -3 = 16
e8x = 16

Divide each side by 'x'.
e8 = 16x-1

Simplifying
e8 = 16x-1

Combine like terms: 16x-1 + -16x-1 = 0
e8 + -16x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e8x + -16) = 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 '(e8x + -16)' equal to zero and attempt to solve: Simplifying e8x + -16 = 0 Reorder the terms: -16 + e8x = 0 Solving -16 + e8x = 0 Move all terms containing e to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + e8x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + e8x = 0 + 16 e8x = 0 + 16 Combine like terms: 0 + 16 = 16 e8x = 16 Divide each side by 'x'. e8 = 16x-1 Simplifying e8 = 16x-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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