5e^5t=8e^4t

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Solution for 5e^5t=8e^4t equation:


Simplifying
5e5t = 8e4t

Solving
5e5t = 8e4t

Solving for variable 'e'.

Reorder the terms:
-8e4t + 5e5t = 8e4t + -8e4t

Combine like terms: 8e4t + -8e4t = 0
-8e4t + 5e5t = 0

Factor out the Greatest Common Factor (GCF), 'e4t'.
e4t(-8 + 5e) = 0

Subproblem 1

Set the factor 'e4t' equal to zero and attempt to solve: Simplifying e4t = 0 Solving e4t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e4t = 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 '(-8 + 5e)' equal to zero and attempt to solve: Simplifying -8 + 5e = 0 Solving -8 + 5e = 0 Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5e = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5e = 0 + 8 5e = 0 + 8 Combine like terms: 0 + 8 = 8 5e = 8 Divide each side by '5'. e = 1.6 Simplifying e = 1.6

Solution

e = {1.6}

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