e^5x=e^20

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Solution for e^5x=e^20 equation:


Simplifying
e5x = e20

Solving
e5x = e20

Solving for variable 'e'.

Combine like terms: e20 + -1e20 = 0
e5x + -1e20 = 0

Factor out the Greatest Common Factor (GCF), 'e5'.
e5(x + -1e15) = 0

Subproblem 1

Set the factor 'e5' equal to zero and attempt to solve: Simplifying e5 = 0 Solving e5 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e5 = 0 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 '(x + -1e15)' equal to zero and attempt to solve: Simplifying x + -1e15 = 0 Reorder the terms: -1e15 + x = 0 Solving -1e15 + x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x' to each side of the equation. -1e15 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -1e15 + 0 = 0 + -1x -1e15 = 0 + -1x Remove the zero: -1e15 = -1x Divide each side by '-1'. e15 = x Simplifying e15 = x 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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