e^6x=22

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Solution for e^6x=22 equation:


Simplifying
e6x = 22

Solving
e6x = 22

Solving for variable 'e'.

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

Divide each side by 'x'.
e6 = 22x-1

Simplifying
e6 = 22x-1

Combine like terms: 22x-1 + -22x-1 = 0
e6 + -22x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + -22) = 0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(e6x + -22)' equal to zero and attempt to solve: Simplifying e6x + -22 = 0 Reorder the terms: -22 + e6x = 0 Solving -22 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + e6x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + e6x = 0 + 22 e6x = 0 + 22 Combine like terms: 0 + 22 = 22 e6x = 22 Divide each side by 'x'. e6 = 22x-1 Simplifying e6 = 22x-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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