3e^6x=5e^9x

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Solution for 3e^6x=5e^9x equation:


Simplifying
3e6x = 5e9x

Solving
3e6x = 5e9x

Solving for variable 'e'.

Combine like terms: 5e9x + -5e9x = 0
3e6x + -5e9x = 0

Factor out the Greatest Common Factor (GCF), 'e6x'.
e6x(3 + -5e3) = 0

Subproblem 1

Set the factor 'e6x' equal to zero and attempt to solve: Simplifying e6x = 0 Solving e6x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e6x = 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 '(3 + -5e3)' equal to zero and attempt to solve: Simplifying 3 + -5e3 = 0 Solving 3 + -5e3 = 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 + -5e3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5e3 = 0 + -3 -5e3 = 0 + -3 Combine like terms: 0 + -3 = -3 -5e3 = -3 Divide each side by '-5'. e3 = 0.6 Simplifying e3 = 0.6 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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