8e^5x=85

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Solution for 8e^5x=85 equation:


Simplifying
8e5x = 85

Solving
8e5x = 85

Solving for variable 'e'.

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

Divide each side by '8x'.
e5 = 10.625x-1

Simplifying
e5 = 10.625x-1

Combine like terms: 10.625x-1 + -10.625x-1 = 0.000
e5 + -10.625x-1 = 0.000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -10.625) = 0.000

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 '(e5x + -10.625)' equal to zero and attempt to solve: Simplifying e5x + -10.625 = 0 Reorder the terms: -10.625 + e5x = 0 Solving -10.625 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '10.625' to each side of the equation. -10.625 + 10.625 + e5x = 0 + 10.625 Combine like terms: -10.625 + 10.625 = 0.000 0.000 + e5x = 0 + 10.625 e5x = 0 + 10.625 Combine like terms: 0 + 10.625 = 10.625 e5x = 10.625 Divide each side by 'x'. e5 = 10.625x-1 Simplifying e5 = 10.625x-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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