5e^5x=6e^6x

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


Simplifying
5e5x = 6e6x

Solving
5e5x = 6e6x

Solving for variable 'e'.

Combine like terms: 6e6x + -6e6x = 0
5e5x + -6e6x = 0

Factor out the Greatest Common Factor (GCF), 'e5x'.
e5x(5 + -6e) = 0

Subproblem 1

Set the factor 'e5x' equal to zero and attempt to solve: Simplifying e5x = 0 Solving e5x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e5x = 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 '(5 + -6e)' equal to zero and attempt to solve: Simplifying 5 + -6e = 0 Solving 5 + -6e = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6e = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6e = 0 + -5 -6e = 0 + -5 Combine like terms: 0 + -5 = -5 -6e = -5 Divide each side by '-6'. e = 0.8333333333 Simplifying e = 0.8333333333

Solution

e = {0.8333333333}

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