6=3e^5t

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Solution for 6=3e^5t equation:


Simplifying
6 = 3e5t

Solving
6 = 3e5t

Solving for variable 'e'.

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

Add '-3e5t' to each side of the equation.
6 + -3e5t = 3e5t + -3e5t

Combine like terms: 3e5t + -3e5t = 0
6 + -3e5t = 0

Add '-6' to each side of the equation.
6 + -6 + -3e5t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3e5t = 0 + -6
-3e5t = 0 + -6

Combine like terms: 0 + -6 = -6
-3e5t = -6

Divide each side by '-3t'.
e5 = 2t-1

Simplifying
e5 = 2t-1

Combine like terms: 2t-1 + -2t-1 = 0
e5 + -2t-1 = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e5t + -2) = 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 + -2)' equal to zero and attempt to solve: Simplifying e5t + -2 = 0 Reorder the terms: -2 + e5t = 0 Solving -2 + e5t = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e5t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e5t = 0 + 2 e5t = 0 + 2 Combine like terms: 0 + 2 = 2 e5t = 2 Divide each side by 't'. e5 = 2t-1 Simplifying e5 = 2t-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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