e^2x*e^5x=e^14

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Solution for e^2x*e^5x=e^14 equation:


Simplifying
e2x * e5x = e14

Multiply e2x * e5x
e7x2 = e14

Solving
e7x2 = e14

Solving for variable 'e'.

Combine like terms: e14 + -1e14 = 0
e7x2 + -1e14 = 0

Factor out the Greatest Common Factor (GCF), 'e7'.
e7(x2 + -1e7) = 0

Subproblem 1

Set the factor 'e7' equal to zero and attempt to solve: Simplifying e7 = 0 Solving e7 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e7 = 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 '(x2 + -1e7)' equal to zero and attempt to solve: Simplifying x2 + -1e7 = 0 Reorder the terms: -1e7 + x2 = 0 Solving -1e7 + x2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x2' to each side of the equation. -1e7 + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 -1e7 + 0 = 0 + -1x2 -1e7 = 0 + -1x2 Remove the zero: -1e7 = -1x2 Divide each side by '-1'. e7 = x2 Simplifying e7 = x2 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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