e^7x=5e^3x

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Solution for e^7x=5e^3x equation:


Simplifying
e7x = 5e3x

Solving
e7x = 5e3x

Solving for variable 'e'.

Reorder the terms:
-5e3x + e7x = 5e3x + -5e3x

Combine like terms: 5e3x + -5e3x = 0
-5e3x + e7x = 0

Factor out the Greatest Common Factor (GCF), 'e3x'.
e3x(-5 + e4) = 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 '(-5 + e4)' equal to zero and attempt to solve: Simplifying -5 + e4 = 0 Solving -5 + e4 = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + e4 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + e4 = 0 + 5 e4 = 0 + 5 Combine like terms: 0 + 5 = 5 e4 = 5 Simplifying e4 = 5 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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