7e^8t=9e^7t

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


Simplifying
7e8t = 9e7t

Solving
7e8t = 9e7t

Solving for variable 'e'.

Reorder the terms:
-9e7t + 7e8t = 9e7t + -9e7t

Combine like terms: 9e7t + -9e7t = 0
-9e7t + 7e8t = 0

Factor out the Greatest Common Factor (GCF), 'e7t'.
e7t(-9 + 7e) = 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 '(-9 + 7e)' equal to zero and attempt to solve: Simplifying -9 + 7e = 0 Solving -9 + 7e = 0 Move all terms containing e to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7e = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7e = 0 + 9 7e = 0 + 9 Combine like terms: 0 + 9 = 9 7e = 9 Divide each side by '7'. e = 1.285714286 Simplifying e = 1.285714286

Solution

e = {1.285714286}

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