6ln(3x+1)-1=5

Solution for 6ln(3x+1)-1=5 equation:

Simplifying
6ln(3x + 1) + -1 = 5

Reorder the terms:
6ln(1 + 3x) + -1 = 5
(1 * 6ln + 3x * 6ln) + -1 = 5
(6ln + 18lnx) + -1 = 5

Reorder the terms:
-1 + 6ln + 18lnx = 5

Solving
-1 + 6ln + 18lnx = 5

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 + 6ln + 1 + 18lnx = 5 + 1

Reorder the terms:
-1 + 1 + 6ln + 18lnx = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 6ln + 18lnx = 5 + 1
6ln + 18lnx = 5 + 1

Combine like terms: 5 + 1 = 6
6ln + 18lnx = 6

Reorder the terms:
-6 + 6ln + 18lnx = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 6ln + 18lnx = 0

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

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + ln + 3lnx)' equal to zero and attempt to solve:

Simplifying
-1 + ln + 3lnx = 0

Solving
-1 + ln + 3lnx = 0

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

Add '1' to each side of the equation.
-1 + ln + 1 + 3lnx = 0 + 1

Reorder the terms:
-1 + 1 + ln + 3lnx = 0 + 1

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

Combine like terms: 0 + 1 = 1
ln + 3lnx = 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.