3ln(2x-3)=12

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Solution for 3ln(2x-3)=12 equation:


Simplifying
3ln(2x + -3) = 12

Reorder the terms:
3ln(-3 + 2x) = 12
(-3 * 3ln + 2x * 3ln) = 12
(-9ln + 6lnx) = 12

Solving
-9ln + 6lnx = 12

Solving for variable 'l'.

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

Reorder the terms:
-12 + -9ln + 6lnx = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -9ln + 6lnx = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + -3ln + 2lnx)' equal to zero and attempt to solve: Simplifying -4 + -3ln + 2lnx = 0 Solving -4 + -3ln + 2lnx = 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 + 2lnx = 0 + 4 Reorder the terms: -4 + 4 + -3ln + 2lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3ln + 2lnx = 0 + 4 -3ln + 2lnx = 0 + 4 Combine like terms: 0 + 4 = 4 -3ln + 2lnx = 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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