4e^5t=7e^4t

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Solution for 4e^5t=7e^4t equation:


Simplifying
4e5t = 7e4t

Solving
4e5t = 7e4t

Solving for variable 'e'.

Reorder the terms:
-7e4t + 4e5t = 7e4t + -7e4t

Combine like terms: 7e4t + -7e4t = 0
-7e4t + 4e5t = 0

Factor out the Greatest Common Factor (GCF), 'e4t'.
e4t(-7 + 4e) = 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 '(-7 + 4e)' equal to zero and attempt to solve: Simplifying -7 + 4e = 0 Solving -7 + 4e = 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 + 4e = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4e = 0 + 7 4e = 0 + 7 Combine like terms: 0 + 7 = 7 4e = 7 Divide each side by '4'. e = 1.75 Simplifying e = 1.75

Solution

e = {1.75}

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