9e^5t=13e^4t

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Solution for 9e^5t=13e^4t equation:


Simplifying
9e5t = 13e4t

Solving
9e5t = 13e4t

Solving for variable 'e'.

Reorder the terms:
-13e4t + 9e5t = 13e4t + -13e4t

Combine like terms: 13e4t + -13e4t = 0
-13e4t + 9e5t = 0

Factor out the Greatest Common Factor (GCF), 'e4t'.
e4t(-13 + 9e) = 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 '(-13 + 9e)' equal to zero and attempt to solve: Simplifying -13 + 9e = 0 Solving -13 + 9e = 0 Move all terms containing e to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9e = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 9e = 0 + 13 9e = 0 + 13 Combine like terms: 0 + 13 = 13 9e = 13 Divide each side by '9'. e = 1.444444444 Simplifying e = 1.444444444

Solution

e = {1.444444444}

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