4e^5x=5e^6x

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


Simplifying
4e5x = 5e6x

Solving
4e5x = 5e6x

Solving for variable 'e'.

Combine like terms: 5e6x + -5e6x = 0
4e5x + -5e6x = 0

Factor out the Greatest Common Factor (GCF), 'e5x'.
e5x(4 + -5e) = 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 '(4 + -5e)' equal to zero and attempt to solve: Simplifying 4 + -5e = 0 Solving 4 + -5e = 0 Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5e = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5e = 0 + -4 -5e = 0 + -4 Combine like terms: 0 + -4 = -4 -5e = -4 Divide each side by '-5'. e = 0.8 Simplifying e = 0.8

Solution

e = {0.8}

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