71=7e^3x

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Solution for 71=7e^3x equation:


Simplifying
71 = 7e3x

Solving
71 = 7e3x

Solving for variable 'e'.

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

Add '-7e3x' to each side of the equation.
71 + -7e3x = 7e3x + -7e3x

Combine like terms: 7e3x + -7e3x = 0
71 + -7e3x = 0

Add '-71' to each side of the equation.
71 + -71 + -7e3x = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -7e3x = 0 + -71
-7e3x = 0 + -71

Combine like terms: 0 + -71 = -71
-7e3x = -71

Divide each side by '-7x'.
e3 = 10.14285714x-1

Simplifying
e3 = 10.14285714x-1

Combine like terms: 10.14285714x-1 + -10.14285714x-1 = 0.00000000
e3 + -10.14285714x-1 = 0.00000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -10.14285714) = 0.00000000

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 + -10.14285714)' equal to zero and attempt to solve: Simplifying e3x + -10.14285714 = 0 Reorder the terms: -10.14285714 + e3x = 0 Solving -10.14285714 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '10.14285714' to each side of the equation. -10.14285714 + 10.14285714 + e3x = 0 + 10.14285714 Combine like terms: -10.14285714 + 10.14285714 = 0.00000000 0.00000000 + e3x = 0 + 10.14285714 e3x = 0 + 10.14285714 Combine like terms: 0 + 10.14285714 = 10.14285714 e3x = 10.14285714 Divide each side by 'x'. e3 = 10.14285714x-1 Simplifying e3 = 10.14285714x-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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