e^6x=9x

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Solution for e^6x=9x equation:


Simplifying
e6x = 9x

Solving
e6x = 9x

Solving for variable 'e'.

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

Divide each side by 'x'.
e6 = 9

Simplifying
e6 = 9

Reorder the terms:
-9 + e6 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + e6 = 0

Factor a difference between two squares.
(3 + e3)(-3 + e3) = 0

Subproblem 1

Set the factor '(3 + e3)' equal to zero and attempt to solve: Simplifying 3 + e3 = 0 Solving 3 + e3 = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + e3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + e3 = 0 + -3 e3 = 0 + -3 Combine like terms: 0 + -3 = -3 e3 = -3 Simplifying e3 = -3 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 '(-3 + e3)' equal to zero and attempt to solve: Simplifying -3 + e3 = 0 Solving -3 + e3 = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + e3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + e3 = 0 + 3 e3 = 0 + 3 Combine like terms: 0 + 3 = 3 e3 = 3 Simplifying e3 = 3 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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