5e^2x=8e^5x

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Solution for 5e^2x=8e^5x equation:


Simplifying
5e2x = 8e5x

Solving
5e2x = 8e5x

Solving for variable 'e'.

Combine like terms: 8e5x + -8e5x = 0
5e2x + -8e5x = 0

Factor out the Greatest Common Factor (GCF), 'e2x'.
e2x(5 + -8e3) = 0

Subproblem 1

Set the factor 'e2x' equal to zero and attempt to solve: Simplifying e2x = 0 Solving e2x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2x = 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 + -8e3)' equal to zero and attempt to solve: Simplifying 5 + -8e3 = 0 Solving 5 + -8e3 = 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 + -8e3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8e3 = 0 + -5 -8e3 = 0 + -5 Combine like terms: 0 + -5 = -5 -8e3 = -5 Divide each side by '-8'. e3 = 0.625 Simplifying e3 = 0.625 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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