2e^10x=19

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Solution for 2e^10x=19 equation:


Simplifying
2e10x = 19

Solving
2e10x = 19

Solving for variable 'e'.

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

Divide each side by '2x'.
e10 = 9.5x-1

Simplifying
e10 = 9.5x-1

Combine like terms: 9.5x-1 + -9.5x-1 = 0.0
e10 + -9.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e10x + -9.5) = 0.0

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 '(e10x + -9.5)' equal to zero and attempt to solve: Simplifying e10x + -9.5 = 0 Reorder the terms: -9.5 + e10x = 0 Solving -9.5 + e10x = 0 Move all terms containing e to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + e10x = 0 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + e10x = 0 + 9.5 e10x = 0 + 9.5 Combine like terms: 0 + 9.5 = 9.5 e10x = 9.5 Divide each side by 'x'. e10 = 9.5x-1 Simplifying e10 = 9.5x-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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