e^6n=8

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Solution for e^6n=8 equation:


Simplifying
e6n = 8

Solving
e6n = 8

Solving for variable 'e'.

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

Divide each side by 'n'.
e6 = 8n-1

Simplifying
e6 = 8n-1

Combine like terms: 8n-1 + -8n-1 = 0
e6 + -8n-1 = 0

Factor out the Greatest Common Factor (GCF), 'n-1'.
n-1(e6n + -8) = 0

Subproblem 1

Set the factor 'n-1' equal to zero and attempt to solve: Simplifying n-1 = 0 Solving n-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1n-1' to each side of the equation. n-1 + -1n-1 = 0 + -1n-1 Remove the zero: 0 = -1n-1 Simplifying 0 = -1n-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 '(e6n + -8)' equal to zero and attempt to solve: Simplifying e6n + -8 = 0 Reorder the terms: -8 + e6n = 0 Solving -8 + e6n = 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 + e6n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + e6n = 0 + 8 e6n = 0 + 8 Combine like terms: 0 + 8 = 8 e6n = 8 Divide each side by 'n'. e6 = 8n-1 Simplifying e6 = 8n-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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