ln(6x)-ln(2)=12

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Solution for ln(6x)-ln(2)=12 equation:


Simplifying
ln(6x) + -1ln(2) = 12

Remove parenthesis around (6x)
ln * 6x + -1ln(2) = 12

Reorder the terms for easier multiplication:
6ln * x + -1ln(2) = 12

Multiply ln * x
6lnx + -1ln(2) = 12

Reorder the terms for easier multiplication:
6lnx + -1 * 2ln = 12

Multiply -1 * 2
6lnx + -2ln = 12

Reorder the terms:
-2ln + 6lnx = 12

Solving
-2ln + 6lnx = 12

Solving for variable 'l'.

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

Reorder the terms:
-12 + -2ln + 6lnx = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -2ln + 6lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -1ln + 3lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + -1ln + 3lnx)' equal to zero and attempt to solve: Simplifying -6 + -1ln + 3lnx = 0 Solving -6 + -1ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1ln + 6 + 3lnx = 0 + 6 Reorder the terms: -6 + 6 + -1ln + 3lnx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1ln + 3lnx = 0 + 6 -1ln + 3lnx = 0 + 6 Combine like terms: 0 + 6 = 6 -1ln + 3lnx = 6 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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