4ln(6x-1)+3=7

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Solution for 4ln(6x-1)+3=7 equation:


Simplifying
4ln(6x + -1) + 3 = 7

Reorder the terms:
4ln(-1 + 6x) + 3 = 7
(-1 * 4ln + 6x * 4ln) + 3 = 7
(-4ln + 24lnx) + 3 = 7

Reorder the terms:
3 + -4ln + 24lnx = 7

Solving
3 + -4ln + 24lnx = 7

Solving for variable 'l'.

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

Add '-3' to each side of the equation.
3 + -4ln + -3 + 24lnx = 7 + -3

Reorder the terms:
3 + -3 + -4ln + 24lnx = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -4ln + 24lnx = 7 + -3
-4ln + 24lnx = 7 + -3

Combine like terms: 7 + -3 = 4
-4ln + 24lnx = 4

Reorder the terms:
-4 + -4ln + 24lnx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -4ln + 24lnx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -1ln + 6lnx) = 0

Ignore the factor 4.

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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