ln(6)-ln(4x-2)=4

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Solution for ln(6)-ln(4x-2)=4 equation:


Simplifying
ln(6) + -1ln(4x + -2) = 4

Reorder the terms for easier multiplication:
6ln + -1ln(4x + -2) = 4

Reorder the terms:
6ln + -1ln(-2 + 4x) = 4
6ln + (-2 * -1ln + 4x * -1ln) = 4
6ln + (2ln + -4lnx) = 4

Combine like terms: 6ln + 2ln = 8ln
8ln + -4lnx = 4

Solving
8ln + -4lnx = 4

Solving for variable 'l'.

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

Reorder the terms:
-4 + 8ln + -4lnx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 8ln + -4lnx = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + 2ln + -1lnx)' equal to zero and attempt to solve: Simplifying -1 + 2ln + -1lnx = 0 Solving -1 + 2ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2ln + 1 + -1lnx = 0 + 1 Reorder the terms: -1 + 1 + 2ln + -1lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2ln + -1lnx = 0 + 1 2ln + -1lnx = 0 + 1 Combine like terms: 0 + 1 = 1 2ln + -1lnx = 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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