e^3t=1000

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Solution for e^3t=1000 equation:


Simplifying
e3t = 1000

Solving
e3t = 1000

Solving for variable 'e'.

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

Divide each side by 't'.
e3 = 1000t-1

Simplifying
e3 = 1000t-1

Combine like terms: 1000t-1 + -1000t-1 = 0
e3 + -1000t-1 = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e3t + -1000) = 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 '(e3t + -1000)' equal to zero and attempt to solve: Simplifying e3t + -1000 = 0 Reorder the terms: -1000 + e3t = 0 Solving -1000 + e3t = 0 Move all terms containing e to the left, all other terms to the right. Add '1000' to each side of the equation. -1000 + 1000 + e3t = 0 + 1000 Combine like terms: -1000 + 1000 = 0 0 + e3t = 0 + 1000 e3t = 0 + 1000 Combine like terms: 0 + 1000 = 1000 e3t = 1000 Divide each side by 't'. e3 = 1000t-1 Simplifying e3 = 1000t-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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