4e^7t=5e^6t

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Solution for 4e^7t=5e^6t equation:


Simplifying
4e7t = 5e6t

Solving
4e7t = 5e6t

Solving for variable 'e'.

Reorder the terms:
-5e6t + 4e7t = 5e6t + -5e6t

Combine like terms: 5e6t + -5e6t = 0
-5e6t + 4e7t = 0

Factor out the Greatest Common Factor (GCF), 'e6t'.
e6t(-5 + 4e) = 0

Subproblem 1

Set the factor 'e6t' equal to zero and attempt to solve: Simplifying e6t = 0 Solving e6t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e6t = 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 + 4e)' equal to zero and attempt to solve: Simplifying -5 + 4e = 0 Solving -5 + 4e = 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 + 4e = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4e = 0 + 5 4e = 0 + 5 Combine like terms: 0 + 5 = 5 4e = 5 Divide each side by '4'. e = 1.25 Simplifying e = 1.25

Solution

e = {1.25}

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