100e^10k=200

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Solution for 100e^10k=200 equation:


Simplifying
100e10k = 200

Solving
100e10k = 200

Solving for variable 'e'.

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

Divide each side by '100k'.
e10 = 2k-1

Simplifying
e10 = 2k-1

Combine like terms: 2k-1 + -2k-1 = 0
e10 + -2k-1 = 0

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e10k + -2) = 0

Subproblem 1

Set the factor 'k-1' equal to zero and attempt to solve: Simplifying k-1 = 0 Solving k-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1k-1' to each side of the equation. k-1 + -1k-1 = 0 + -1k-1 Remove the zero: 0 = -1k-1 Simplifying 0 = -1k-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 '(e10k + -2)' equal to zero and attempt to solve: Simplifying e10k + -2 = 0 Reorder the terms: -2 + e10k = 0 Solving -2 + e10k = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e10k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e10k = 0 + 2 e10k = 0 + 2 Combine like terms: 0 + 2 = 2 e10k = 2 Divide each side by 'k'. e10 = 2k-1 Simplifying e10 = 2k-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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