e^4x=9e^3x

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Solution for e^4x=9e^3x equation:


Simplifying
e4x = 9e3x

Solving
e4x = 9e3x

Solving for variable 'e'.

Reorder the terms:
-9e3x + e4x = 9e3x + -9e3x

Combine like terms: 9e3x + -9e3x = 0
-9e3x + e4x = 0

Factor out the Greatest Common Factor (GCF), 'e3x'.
e3x(-9 + e) = 0

Subproblem 1

Set the factor 'e3x' equal to zero and attempt to solve: Simplifying e3x = 0 Solving e3x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e3x = 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 '(-9 + e)' equal to zero and attempt to solve: Simplifying -9 + e = 0 Solving -9 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + e = 0 + 9 Combine like terms: -9 + 9 = 0 0 + e = 0 + 9 e = 0 + 9 Combine like terms: 0 + 9 = 9 e = 9 Simplifying e = 9

Solution

e = {9}

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