6e^4x=8e^5x

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Solution for 6e^4x=8e^5x equation:


Simplifying
6e4x = 8e5x

Solving
6e4x = 8e5x

Solving for variable 'e'.

Combine like terms: 8e5x + -8e5x = 0
6e4x + -8e5x = 0

Factor out the Greatest Common Factor (GCF), '2e4x'.
2e4x(3 + -4e) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'e4x' equal to zero and attempt to solve: Simplifying e4x = 0 Solving e4x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e4x = 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 '(3 + -4e)' equal to zero and attempt to solve: Simplifying 3 + -4e = 0 Solving 3 + -4e = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4e = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4e = 0 + -3 -4e = 0 + -3 Combine like terms: 0 + -3 = -3 -4e = -3 Divide each side by '-4'. e = 0.75 Simplifying e = 0.75

Solution

e = {0.75}

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