2ln(6x-1)+5=7

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Solution for 2ln(6x-1)+5=7 equation:


Simplifying
2ln(6x + -1) + 5 = 7

Reorder the terms:
2ln(-1 + 6x) + 5 = 7
(-1 * 2ln + 6x * 2ln) + 5 = 7
(-2ln + 12lnx) + 5 = 7

Reorder the terms:
5 + -2ln + 12lnx = 7

Solving
5 + -2ln + 12lnx = 7

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 + -2ln + -5 + 12lnx = 7 + -5

Reorder the terms:
5 + -5 + -2ln + 12lnx = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -2ln + 12lnx = 7 + -5
-2ln + 12lnx = 7 + -5

Combine like terms: 7 + -5 = 2
-2ln + 12lnx = 2

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

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

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

Ignore the factor 2.

Subproblem 1

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