e^5t=100

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Solution for e^5t=100 equation:


Simplifying
e5t = 100

Solving
e5t = 100

Solving for variable 'e'.

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

Divide each side by 't'.
e5 = 100t-1

Simplifying
e5 = 100t-1

Combine like terms: 100t-1 + -100t-1 = 0
e5 + -100t-1 = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e5t + -100) = 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 '(e5t + -100)' equal to zero and attempt to solve: Simplifying e5t + -100 = 0 Reorder the terms: -100 + e5t = 0 Solving -100 + e5t = 0 Move all terms containing e to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + e5t = 0 + 100 Combine like terms: -100 + 100 = 0 0 + e5t = 0 + 100 e5t = 0 + 100 Combine like terms: 0 + 100 = 100 e5t = 100 Divide each side by 't'. e5 = 100t-1 Simplifying e5 = 100t-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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