ln(x)-ln(3x-1)-5=0

Solution for ln(x)-ln(3x-1)-5=0 equation:

Simplifying
ln(x) + -1ln(3x + -1) + -5 = 0

Multiply ln * x
lnx + -1ln(3x + -1) + -5 = 0

Reorder the terms:
lnx + -1ln(-1 + 3x) + -5 = 0
lnx + (-1 * -1ln + 3x * -1ln) + -5 = 0
lnx + (1ln + -3lnx) + -5 = 0

Reorder the terms:
-5 + 1ln + lnx + -3lnx = 0

Combine like terms: lnx + -3lnx = -2lnx
-5 + 1ln + -2lnx = 0

Solving
-5 + 1ln + -2lnx = 0

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 + 1ln + 5 + -2lnx = 0 + 5

Reorder the terms:
-5 + 5 + 1ln + -2lnx = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 1ln + -2lnx = 0 + 5
1ln + -2lnx = 0 + 5

Combine like terms: 0 + 5 = 5
1ln + -2lnx = 5

Reorder the terms:
-5 + 1ln + -2lnx = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 1ln + -2lnx = 0

The solution to this equation could not be determined.