5e^8t=6e^7t

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Solution for 5e^8t=6e^7t equation:


Simplifying
5e8t = 6e7t

Solving
5e8t = 6e7t

Solving for variable 'e'.

Reorder the terms:
-6e7t + 5e8t = 6e7t + -6e7t

Combine like terms: 6e7t + -6e7t = 0
-6e7t + 5e8t = 0

Factor out the Greatest Common Factor (GCF), 'e7t'.
e7t(-6 + 5e) = 0

Subproblem 1

Set the factor 'e7t' equal to zero and attempt to solve: Simplifying e7t = 0 Solving e7t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e7t = 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 '(-6 + 5e)' equal to zero and attempt to solve: Simplifying -6 + 5e = 0 Solving -6 + 5e = 0 Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5e = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5e = 0 + 6 5e = 0 + 6 Combine like terms: 0 + 6 = 6 5e = 6 Divide each side by '5'. e = 1.2 Simplifying e = 1.2

Solution

e = {1.2}

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