8=e^4k

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Solution for 8=e^4k equation:


Simplifying
8 = e4k

Solving
8 = e4k

Solving for variable 'e'.

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

Add '-1e4k' to each side of the equation.
8 + -1e4k = e4k + -1e4k

Combine like terms: e4k + -1e4k = 0
8 + -1e4k = 0

Add '-8' to each side of the equation.
8 + -8 + -1e4k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1e4k = 0 + -8
-1e4k = 0 + -8

Combine like terms: 0 + -8 = -8
-1e4k = -8

Divide each side by '-1k'.
e4 = 8k-1

Simplifying
e4 = 8k-1

Combine like terms: 8k-1 + -8k-1 = 0
e4 + -8k-1 = 0

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e4k + -8) = 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 '(e4k + -8)' equal to zero and attempt to solve: Simplifying e4k + -8 = 0 Reorder the terms: -8 + e4k = 0 Solving -8 + e4k = 0 Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + e4k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + e4k = 0 + 8 e4k = 0 + 8 Combine like terms: 0 + 8 = 8 e4k = 8 Divide each side by 'k'. e4 = 8k-1 Simplifying e4 = 8k-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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