2e^2x=4e^5x

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Solution for 2e^2x=4e^5x equation:


Simplifying
2e2x = 4e5x

Solving
2e2x = 4e5x

Solving for variable 'e'.

Combine like terms: 4e5x + -4e5x = 0
2e2x + -4e5x = 0

Factor out the Greatest Common Factor (GCF), '2e2x'.
2e2x(1 + -2e3) = 0

Ignore the factor 2.

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 '(1 + -2e3)' equal to zero and attempt to solve: Simplifying 1 + -2e3 = 0 Solving 1 + -2e3 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2e3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2e3 = 0 + -1 -2e3 = 0 + -1 Combine like terms: 0 + -1 = -1 -2e3 = -1 Divide each side by '-2'. e3 = 0.5 Simplifying e3 = 0.5 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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