71=9e^3x

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Solution for 71=9e^3x equation:


Simplifying
71 = 9e3x

Solving
71 = 9e3x

Solving for variable 'e'.

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

Add '-9e3x' to each side of the equation.
71 + -9e3x = 9e3x + -9e3x

Combine like terms: 9e3x + -9e3x = 0
71 + -9e3x = 0

Add '-71' to each side of the equation.
71 + -71 + -9e3x = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -9e3x = 0 + -71
-9e3x = 0 + -71

Combine like terms: 0 + -71 = -71
-9e3x = -71

Divide each side by '-9x'.
e3 = 7.888888889x-1

Simplifying
e3 = 7.888888889x-1

Combine like terms: 7.888888889x-1 + -7.888888889x-1 = 0.000000000
e3 + -7.888888889x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -7.888888889) = 0.000000000

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(e3x + -7.888888889)' equal to zero and attempt to solve: Simplifying e3x + -7.888888889 = 0 Reorder the terms: -7.888888889 + e3x = 0 Solving -7.888888889 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '7.888888889' to each side of the equation. -7.888888889 + 7.888888889 + e3x = 0 + 7.888888889 Combine like terms: -7.888888889 + 7.888888889 = 0.000000000 0.000000000 + e3x = 0 + 7.888888889 e3x = 0 + 7.888888889 Combine like terms: 0 + 7.888888889 = 7.888888889 e3x = 7.888888889 Divide each side by 'x'. e3 = 7.888888889x-1 Simplifying e3 = 7.888888889x-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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