3ln(5x-1)+4=7

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Solution for 3ln(5x-1)+4=7 equation: 


Simplifying
3ln(5x + -1) + 4 = 7

Reorder the terms:
3ln(-1 + 5x) + 4 = 7
(-1 * 3ln + 5x * 3ln) + 4 = 7
(-3ln + 15lnx) + 4 = 7

Reorder the terms:
4 + -3ln + 15lnx = 7

Solving
4 + -3ln + 15lnx = 7

Solving for variable 'l'.

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

Add '-4' to each side of the equation.
4 + -3ln + -4 + 15lnx = 7 + -4

Reorder the terms:
4 + -4 + -3ln + 15lnx = 7 + -4

Combine like terms: 4 + -4 = 0
0 + -3ln + 15lnx = 7 + -4
-3ln + 15lnx = 7 + -4

Combine like terms: 7 + -4 = 3
-3ln + 15lnx = 3

Reorder the terms:
-3 + -3ln + 15lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -3ln + 15lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -1ln + 5lnx) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1 + -1ln + 5lnx)' equal to zero and attempt to solve:

Simplifying
-1 + -1ln + 5lnx = 0

Solving
-1 + -1ln + 5lnx = 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 + 5lnx = 0 + 1

Reorder the terms:
-1 + 1 + -1ln + 5lnx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1ln + 5lnx = 0 + 1
-1ln + 5lnx = 0 + 1

Combine like terms: 0 + 1 = 1
-1ln + 5lnx = 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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