e^3t=2400

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Solution for e^3t=2400 equation:


Simplifying
e3t = 2400

Solving
e3t = 2400

Solving for variable 'e'.

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

Divide each side by 't'.
e3 = 2400t-1

Simplifying
e3 = 2400t-1

Combine like terms: 2400t-1 + -2400t-1 = 0
e3 + -2400t-1 = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e3t + -2400) = 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 + -2400)' equal to zero and attempt to solve: Simplifying e3t + -2400 = 0 Reorder the terms: -2400 + e3t = 0 Solving -2400 + e3t = 0 Move all terms containing e to the left, all other terms to the right. Add '2400' to each side of the equation. -2400 + 2400 + e3t = 0 + 2400 Combine like terms: -2400 + 2400 = 0 0 + e3t = 0 + 2400 e3t = 0 + 2400 Combine like terms: 0 + 2400 = 2400 e3t = 2400 Divide each side by 't'. e3 = 2400t-1 Simplifying e3 = 2400t-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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