2e^8x-5=19

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Solution for 2e^8x-5=19 equation:


Simplifying
2e8x + -5 = 19

Reorder the terms:
-5 + 2e8x = 19

Solving
-5 + 2e8x = 19

Solving for variable 'e'.

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

Add '5' to each side of the equation.
-5 + 5 + 2e8x = 19 + 5

Combine like terms: -5 + 5 = 0
0 + 2e8x = 19 + 5
2e8x = 19 + 5

Combine like terms: 19 + 5 = 24
2e8x = 24

Divide each side by '2x'.
e8 = 12x-1

Simplifying
e8 = 12x-1

Combine like terms: 12x-1 + -12x-1 = 0
e8 + -12x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e8x + -12) = 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 + -12)' equal to zero and attempt to solve: Simplifying e8x + -12 = 0 Reorder the terms: -12 + e8x = 0 Solving -12 + e8x = 0 Move all terms containing e to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + e8x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + e8x = 0 + 12 e8x = 0 + 12 Combine like terms: 0 + 12 = 12 e8x = 12 Divide each side by 'x'. e8 = 12x-1 Simplifying e8 = 12x-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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