e^5=3e^7

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Solution for e^5=3e^7 equation:


Simplifying
e5 = 3e7

Solving
e5 = 3e7

Solving for variable 'e'.

Combine like terms: 3e7 + -3e7 = 0
e5 + -3e7 = 0

Factor out the Greatest Common Factor (GCF), 'e5'.
e5(1 + -3e2) = 0

Subproblem 1

Set the factor 'e5' equal to zero and attempt to solve: Simplifying e5 = 0 Solving e5 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e5 = 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 + -3e2)' equal to zero and attempt to solve: Simplifying 1 + -3e2 = 0 Solving 1 + -3e2 = 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 + -3e2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3e2 = 0 + -1 -3e2 = 0 + -1 Combine like terms: 0 + -1 = -1 -3e2 = -1 Divide each side by '-3'. e2 = 0.3333333333 Simplifying e2 = 0.3333333333 Take the square root of each side: e = {-0.577350269, 0.577350269}

Solution

e = {-0.577350269, 0.577350269}

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