5e^4x=7e^6

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Solution for 5e^4x=7e^6 equation:


Simplifying
5e4x = 7e6

Solving
5e4x = 7e6

Solving for variable 'e'.

Combine like terms: 7e6 + -7e6 = 0
5e4x + -7e6 = 0

Factor out the Greatest Common Factor (GCF), 'e4'.
e4(5x + -7e2) = 0

Subproblem 1

Set the factor 'e4' equal to zero and attempt to solve: Simplifying e4 = 0 Solving e4 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e4 = 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 '(5x + -7e2)' equal to zero and attempt to solve: Simplifying 5x + -7e2 = 0 Reorder the terms: -7e2 + 5x = 0 Solving -7e2 + 5x = 0 Move all terms containing e to the left, all other terms to the right. Add '-5x' to each side of the equation. -7e2 + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 -7e2 + 0 = 0 + -5x -7e2 = 0 + -5x Remove the zero: -7e2 = -5x Divide each side by '-7'. e2 = 0.7142857143x Simplifying e2 = 0.7142857143x 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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