e^21x=56

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Solution for e^21x=56 equation:


Simplifying
e21x = 56

Solving
e21x = 56

Solving for variable 'e'.

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

Divide each side by 'x'.
e21 = 56x-1

Simplifying
e21 = 56x-1

Combine like terms: 56x-1 + -56x-1 = 0
e21 + -56x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e21x + -56) = 0

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 '(e21x + -56)' equal to zero and attempt to solve: Simplifying e21x + -56 = 0 Reorder the terms: -56 + e21x = 0 Solving -56 + e21x = 0 Move all terms containing e to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + e21x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + e21x = 0 + 56 e21x = 0 + 56 Combine like terms: 0 + 56 = 56 e21x = 56 Divide each side by 'x'. e21 = 56x-1 Simplifying e21 = 56x-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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