7e^9t=11e^8t

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Solution for 7e^9t=11e^8t equation:


Simplifying
7e9t = 11e8t

Solving
7e9t = 11e8t

Solving for variable 'e'.

Reorder the terms:
-11e8t + 7e9t = 11e8t + -11e8t

Combine like terms: 11e8t + -11e8t = 0
-11e8t + 7e9t = 0

Factor out the Greatest Common Factor (GCF), 'e8t'.
e8t(-11 + 7e) = 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 '(-11 + 7e)' equal to zero and attempt to solve: Simplifying -11 + 7e = 0 Solving -11 + 7e = 0 Move all terms containing e to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7e = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 7e = 0 + 11 7e = 0 + 11 Combine like terms: 0 + 11 = 11 7e = 11 Divide each side by '7'. e = 1.571428571 Simplifying e = 1.571428571

Solution

e = {1.571428571}

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