e^5k=1-0.67

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Solution for e^5k=1-0.67 equation:


Simplifying
e5k = 1 + -0.67

Combine like terms: 1 + -0.67 = 0.33
e5k = 0.33

Solving
e5k = 0.33

Solving for variable 'e'.

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

Divide each side by 'k'.
e5 = 0.33k-1

Simplifying
e5 = 0.33k-1

Combine like terms: 0.33k-1 + -0.33k-1 = 0.00
e5 + -0.33k-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e5k + -0.33) = 0.00

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 '(e5k + -0.33)' equal to zero and attempt to solve: Simplifying e5k + -0.33 = 0 Reorder the terms: -0.33 + e5k = 0 Solving -0.33 + e5k = 0 Move all terms containing e to the left, all other terms to the right. Add '0.33' to each side of the equation. -0.33 + 0.33 + e5k = 0 + 0.33 Combine like terms: -0.33 + 0.33 = 0.00 0.00 + e5k = 0 + 0.33 e5k = 0 + 0.33 Combine like terms: 0 + 0.33 = 0.33 e5k = 0.33 Divide each side by 'k'. e5 = 0.33k-1 Simplifying e5 = 0.33k-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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