e^12x=19

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Solution for e^12x=19 equation:


Simplifying
e12x = 19

Solving
e12x = 19

Solving for variable 'e'.

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

Divide each side by 'x'.
e12 = 19x-1

Simplifying
e12 = 19x-1

Combine like terms: 19x-1 + -19x-1 = 0
e12 + -19x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e12x + -19) = 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 '(e12x + -19)' equal to zero and attempt to solve: Simplifying e12x + -19 = 0 Reorder the terms: -19 + e12x = 0 Solving -19 + e12x = 0 Move all terms containing e to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + e12x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + e12x = 0 + 19 e12x = 0 + 19 Combine like terms: 0 + 19 = 19 e12x = 19 Divide each side by 'x'. e12 = 19x-1 Simplifying e12 = 19x-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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