e^4t=4

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Solution for e^4t=4 equation:


Simplifying
e4t = 4

Solving
e4t = 4

Solving for variable 'e'.

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

Divide each side by 't'.
e4 = 4t-1

Simplifying
e4 = 4t-1

Combine like terms: 4t-1 + -4t-1 = 0
e4 + -4t-1 = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e4t + -4) = 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 + -4)' equal to zero and attempt to solve: Simplifying e4t + -4 = 0 Reorder the terms: -4 + e4t = 0 Solving -4 + e4t = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + e4t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + e4t = 0 + 4 e4t = 0 + 4 Combine like terms: 0 + 4 = 4 e4t = 4 Divide each side by 't'. e4 = 4t-1 Simplifying e4 = 4t-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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