5e^4t=40

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Solution for 5e^4t=40 equation:


Simplifying
5e4t = 40

Solving
5e4t = 40

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by '5t'.
e4 = 8t-1

Simplifying
e4 = 8t-1

Combine like terms: 8t-1 + -8t-1 = 0
e4 + -8t-1 = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e4t + -8) = 0

Subproblem 1

Set the factor 't-1' equal to zero and attempt to solve: Simplifying t-1 = 0 Solving t-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1t-1' to each side of the equation. t-1 + -1t-1 = 0 + -1t-1 Remove the zero: 0 = -1t-1 Simplifying 0 = -1t-1 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 '(e4t + -8)' equal to zero and attempt to solve: Simplifying e4t + -8 = 0 Reorder the terms: -8 + e4t = 0 Solving -8 + e4t = 0 Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + e4t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + e4t = 0 + 8 e4t = 0 + 8 Combine like terms: 0 + 8 = 8 e4t = 8 Divide each side by 't'. e4 = 8t-1 Simplifying e4 = 8t-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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