2ln(x-3)-5=3

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Solution for 2ln(x-3)-5=3 equation: 


Simplifying
2ln(x + -3) + -5 = 3

Reorder the terms:
2ln(-3 + x) + -5 = 3
(-3 * 2ln + x * 2ln) + -5 = 3
(-6ln + 2lnx) + -5 = 3

Reorder the terms:
-5 + -6ln + 2lnx = 3

Solving
-5 + -6ln + 2lnx = 3

Solving for variable 'l'.

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

Add '5' to each side of the equation.
-5 + -6ln + 5 + 2lnx = 3 + 5

Reorder the terms:
-5 + 5 + -6ln + 2lnx = 3 + 5

Combine like terms: -5 + 5 = 0
0 + -6ln + 2lnx = 3 + 5
-6ln + 2lnx = 3 + 5

Combine like terms: 3 + 5 = 8
-6ln + 2lnx = 8

Reorder the terms:
-8 + -6ln + 2lnx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -6ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -3ln + lnx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -3ln + lnx)' equal to zero and attempt to solve:

Simplifying
-4 + -3ln + lnx = 0

Solving
-4 + -3ln + 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 + -3ln + 4 + lnx = 0 + 4

Reorder the terms:
-4 + 4 + -3ln + lnx = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3ln + lnx = 0 + 4
-3ln + lnx = 0 + 4

Combine like terms: 0 + 4 = 4
-3ln + 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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