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

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


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

Reorder the terms:
3ln(-1 + 7x) + 1 = 4
(-1 * 3ln + 7x * 3ln) + 1 = 4
(-3ln + 21lnx) + 1 = 4

Reorder the terms:
1 + -3ln + 21lnx = 4

Solving
1 + -3ln + 21lnx = 4

Solving for variable 'l'.

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

Add '-1' to each side of the equation.
1 + -3ln + -1 + 21lnx = 4 + -1

Reorder the terms:
1 + -1 + -3ln + 21lnx = 4 + -1

Combine like terms: 1 + -1 = 0
0 + -3ln + 21lnx = 4 + -1
-3ln + 21lnx = 4 + -1

Combine like terms: 4 + -1 = 3
-3ln + 21lnx = 3

Reorder the terms:
-3 + -3ln + 21lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -3ln + 21lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -1ln + 7lnx) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -1ln + 7lnx)' equal to zero and attempt to solve: Simplifying -1 + -1ln + 7lnx = 0 Solving -1 + -1ln + 7lnx = 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 + 7lnx = 0 + 1 Reorder the terms: -1 + 1 + -1ln + 7lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1ln + 7lnx = 0 + 1 -1ln + 7lnx = 0 + 1 Combine like terms: 0 + 1 = 1 -1ln + 7lnx = 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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