3e^8t=7e^7t

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Solution for 3e^8t=7e^7t equation:


Simplifying
3e8t = 7e7t

Solving
3e8t = 7e7t

Solving for variable 'e'.

Reorder the terms:
-7e7t + 3e8t = 7e7t + -7e7t

Combine like terms: 7e7t + -7e7t = 0
-7e7t + 3e8t = 0

Factor out the Greatest Common Factor (GCF), 'e7t'.
e7t(-7 + 3e) = 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 '(-7 + 3e)' equal to zero and attempt to solve: Simplifying -7 + 3e = 0 Solving -7 + 3e = 0 Move all terms containing e to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3e = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3e = 0 + 7 3e = 0 + 7 Combine like terms: 0 + 7 = 7 3e = 7 Divide each side by '3'. e = 2.333333333 Simplifying e = 2.333333333

Solution

e = {2.333333333}

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