0=2ln(x-3)

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Solution for 0=2ln(x-3) equation:


Simplifying
0 = 2ln(x + -3)

Reorder the terms:
0 = 2ln(-3 + x)
0 = (-3 * 2ln + x * 2ln)
0 = (-6ln + 2lnx)

Solving
0 = -6ln + 2lnx

Solving for variable 'l'.

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

Add '6ln' to each side of the equation.
0 + 6ln = -6ln + 6ln + 2lnx
Remove the zero:
6ln = -6ln + 6ln + 2lnx

Combine like terms: -6ln + 6ln = 0
6ln = 0 + 2lnx
6ln = 2lnx

Add '-2lnx' to each side of the equation.
6ln + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
6ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(3 + -1x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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