3e^4t=15

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Solution for 3e^4t=15 equation:


Simplifying
3e4t = 15

Solving
3e4t = 15

Solving for variable 'e'.

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

Divide each side by '3t'.
e4 = 5t-1

Simplifying
e4 = 5t-1

Combine like terms: 5t-1 + -5t-1 = 0
e4 + -5t-1 = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e4t + -5) = 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 + -5)' equal to zero and attempt to solve: Simplifying e4t + -5 = 0 Reorder the terms: -5 + e4t = 0 Solving -5 + e4t = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + e4t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + e4t = 0 + 5 e4t = 0 + 5 Combine like terms: 0 + 5 = 5 e4t = 5 Divide each side by 't'. e4 = 5t-1 Simplifying e4 = 5t-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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