e^2k=9

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Solution for e^2k=9 equation:


Simplifying
e2k = 9

Solving
e2k = 9

Solving for variable 'e'.

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

Divide each side by 'k'.
e2 = 9k-1

Simplifying
e2 = 9k-1

Combine like terms: 9k-1 + -9k-1 = 0
e2 + -9k-1 = 0

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e2k + -9) = 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 '(e2k + -9)' equal to zero and attempt to solve: Simplifying e2k + -9 = 0 Reorder the terms: -9 + e2k = 0 Solving -9 + e2k = 0 Move all terms containing e to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + e2k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + e2k = 0 + 9 e2k = 0 + 9 Combine like terms: 0 + 9 = 9 e2k = 9 Divide each side by 'k'. e2 = 9k-1 Simplifying e2 = 9k-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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