2e^9t=5e^8t

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Solution for 2e^9t=5e^8t equation:


Simplifying
2e9t = 5e8t

Solving
2e9t = 5e8t

Solving for variable 'e'.

Reorder the terms:
-5e8t + 2e9t = 5e8t + -5e8t

Combine like terms: 5e8t + -5e8t = 0
-5e8t + 2e9t = 0

Factor out the Greatest Common Factor (GCF), 'e8t'.
e8t(-5 + 2e) = 0

Subproblem 1

Set the factor 'e8t' equal to zero and attempt to solve: Simplifying e8t = 0 Solving e8t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e8t = 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 + 2e)' equal to zero and attempt to solve: Simplifying -5 + 2e = 0 Solving -5 + 2e = 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 + 2e = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2e = 0 + 5 2e = 0 + 5 Combine like terms: 0 + 5 = 5 2e = 5 Divide each side by '2'. e = 2.5 Simplifying e = 2.5

Solution

e = {2.5}

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