20(e^3k)=5

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Solution for 20(e^3k)=5 equation:


Simplifying
20(e3k) = 5

Solving
20e3k = 5

Solving for variable 'e'.

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

Divide each side by '20k'.
e3 = 0.25k-1

Simplifying
e3 = 0.25k-1

Combine like terms: 0.25k-1 + -0.25k-1 = 0.00
e3 + -0.25k-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e3k + -0.25) = 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 '(e3k + -0.25)' equal to zero and attempt to solve: Simplifying e3k + -0.25 = 0 Reorder the terms: -0.25 + e3k = 0 Solving -0.25 + e3k = 0 Move all terms containing e to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + e3k = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + e3k = 0 + 0.25 e3k = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 e3k = 0.25 Divide each side by 'k'. e3 = 0.25k-1 Simplifying e3 = 0.25k-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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