e^2x-6=44.7

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Solution for e^2x-6=44.7 equation:


Simplifying
e2x + -6 = 44.7

Reorder the terms:
-6 + e2x = 44.7

Solving
-6 + e2x = 44.7

Solving for variable 'e'.

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

Add '6' to each side of the equation.
-6 + 6 + e2x = 44.7 + 6

Combine like terms: -6 + 6 = 0
0 + e2x = 44.7 + 6
e2x = 44.7 + 6

Combine like terms: 44.7 + 6 = 50.7
e2x = 50.7

Divide each side by 'x'.
e2 = 50.7x-1

Simplifying
e2 = 50.7x-1

Combine like terms: 50.7x-1 + -50.7x-1 = 0.0
e2 + -50.7x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -50.7) = 0.0

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 '(e2x + -50.7)' equal to zero and attempt to solve: Simplifying e2x + -50.7 = 0 Reorder the terms: -50.7 + e2x = 0 Solving -50.7 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '50.7' to each side of the equation. -50.7 + 50.7 + e2x = 0 + 50.7 Combine like terms: -50.7 + 50.7 = 0.0 0.0 + e2x = 0 + 50.7 e2x = 0 + 50.7 Combine like terms: 0 + 50.7 = 50.7 e2x = 50.7 Divide each side by 'x'. e2 = 50.7x-1 Simplifying e2 = 50.7x-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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