e^4t=6

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Solution for e^4t=6 equation:


Simplifying
e4t = 6

Solving
e4t = 6

Solving for variable 'e'.

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

Divide each side by 't'.
e4 = 6t-1

Simplifying
e4 = 6t-1

Combine like terms: 6t-1 + -6t-1 = 0
e4 + -6t-1 = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e4t + -6) = 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 + -6)' equal to zero and attempt to solve: Simplifying e4t + -6 = 0 Reorder the terms: -6 + e4t = 0 Solving -6 + e4t = 0 Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + e4t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + e4t = 0 + 6 e4t = 0 + 6 Combine like terms: 0 + 6 = 6 e4t = 6 Divide each side by 't'. e4 = 6t-1 Simplifying e4 = 6t-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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