4=e^3k

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Solution for 4=e^3k equation:


Simplifying
4 = e3k

Solving
4 = e3k

Solving for variable 'e'.

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

Add '-1e3k' to each side of the equation.
4 + -1e3k = e3k + -1e3k

Combine like terms: e3k + -1e3k = 0
4 + -1e3k = 0

Add '-4' to each side of the equation.
4 + -4 + -1e3k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1e3k = 0 + -4
-1e3k = 0 + -4

Combine like terms: 0 + -4 = -4
-1e3k = -4

Divide each side by '-1k'.
e3 = 4k-1

Simplifying
e3 = 4k-1

Combine like terms: 4k-1 + -4k-1 = 0
e3 + -4k-1 = 0

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e3k + -4) = 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 '(e3k + -4)' equal to zero and attempt to solve: Simplifying e3k + -4 = 0 Reorder the terms: -4 + e3k = 0 Solving -4 + e3k = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + e3k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + e3k = 0 + 4 e3k = 0 + 4 Combine like terms: 0 + 4 = 4 e3k = 4 Divide each side by 'k'. e3 = 4k-1 Simplifying e3 = 4k-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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