2ln(x-1)+3=11

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Solution for 2ln(x-1)+3=11 equation:


Simplifying
2ln(x + -1) + 3 = 11

Reorder the terms:
2ln(-1 + x) + 3 = 11
(-1 * 2ln + x * 2ln) + 3 = 11
(-2ln + 2lnx) + 3 = 11

Reorder the terms:
3 + -2ln + 2lnx = 11

Solving
3 + -2ln + 2lnx = 11

Solving for variable 'l'.

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

Add '-3' to each side of the equation.
3 + -2ln + -3 + 2lnx = 11 + -3

Reorder the terms:
3 + -3 + -2ln + 2lnx = 11 + -3

Combine like terms: 3 + -3 = 0
0 + -2ln + 2lnx = 11 + -3
-2ln + 2lnx = 11 + -3

Combine like terms: 11 + -3 = 8
-2ln + 2lnx = 8

Reorder the terms:
-8 + -2ln + 2lnx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -2ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -1ln + lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -1ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + -1ln + lnx = 0 Solving -4 + -1ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + -1ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1ln + lnx = 0 + 4 -1ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 -1ln + lnx = 4 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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