e^8x-1=8.11

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Solution for e^8x-1=8.11 equation:


Simplifying
e8x + -1 = 8.11

Reorder the terms:
-1 + e8x = 8.11

Solving
-1 + e8x = 8.11

Solving for variable 'e'.

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

Add '1' to each side of the equation.
-1 + 1 + e8x = 8.11 + 1

Combine like terms: -1 + 1 = 0
0 + e8x = 8.11 + 1
e8x = 8.11 + 1

Combine like terms: 8.11 + 1 = 9.11
e8x = 9.11

Divide each side by 'x'.
e8 = 9.11x-1

Simplifying
e8 = 9.11x-1

Combine like terms: 9.11x-1 + -9.11x-1 = 0.00
e8 + -9.11x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e8x + -9.11) = 0.00

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 '(e8x + -9.11)' equal to zero and attempt to solve: Simplifying e8x + -9.11 = 0 Reorder the terms: -9.11 + e8x = 0 Solving -9.11 + e8x = 0 Move all terms containing e to the left, all other terms to the right. Add '9.11' to each side of the equation. -9.11 + 9.11 + e8x = 0 + 9.11 Combine like terms: -9.11 + 9.11 = 0.00 0.00 + e8x = 0 + 9.11 e8x = 0 + 9.11 Combine like terms: 0 + 9.11 = 9.11 e8x = 9.11 Divide each side by 'x'. e8 = 9.11x-1 Simplifying e8 = 9.11x-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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