10=6e^5t

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Solution for 10=6e^5t equation:


Simplifying
10 = 6e5t

Solving
10 = 6e5t

Solving for variable 'e'.

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

Add '-6e5t' to each side of the equation.
10 + -6e5t = 6e5t + -6e5t

Combine like terms: 6e5t + -6e5t = 0
10 + -6e5t = 0

Add '-10' to each side of the equation.
10 + -10 + -6e5t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6e5t = 0 + -10
-6e5t = 0 + -10

Combine like terms: 0 + -10 = -10
-6e5t = -10

Divide each side by '-6t'.
e5 = 1.666666667t-1

Simplifying
e5 = 1.666666667t-1

Combine like terms: 1.666666667t-1 + -1.666666667t-1 = 0.000000000
e5 + -1.666666667t-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e5t + -1.666666667) = 0.000000000

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 + -1.666666667)' equal to zero and attempt to solve: Simplifying e5t + -1.666666667 = 0 Reorder the terms: -1.666666667 + e5t = 0 Solving -1.666666667 + e5t = 0 Move all terms containing e to the left, all other terms to the right. Add '1.666666667' to each side of the equation. -1.666666667 + 1.666666667 + e5t = 0 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + e5t = 0 + 1.666666667 e5t = 0 + 1.666666667 Combine like terms: 0 + 1.666666667 = 1.666666667 e5t = 1.666666667 Divide each side by 't'. e5 = 1.666666667t-1 Simplifying e5 = 1.666666667t-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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