3e^4x=6e^7x

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Solution for 3e^4x=6e^7x equation:


Simplifying
3e4x = 6e7x

Solving
3e4x = 6e7x

Solving for variable 'e'.

Combine like terms: 6e7x + -6e7x = 0
3e4x + -6e7x = 0

Factor out the Greatest Common Factor (GCF), '3e4x'.
3e4x(1 + -2e3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'e4x' equal to zero and attempt to solve: Simplifying e4x = 0 Solving e4x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e4x = 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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