ln(3x-7)-ln(3x)=5

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

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

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

Remove parenthesis around (3x)
-7ln + 3lnx + -1ln * 3x = 5

Reorder the terms for easier multiplication:
-7ln + 3lnx + -1 * 3ln * x = 5

Multiply -1 * 3
-7ln + 3lnx + -3ln * x = 5

Multiply ln * x
-7ln + 3lnx + -3lnx = 5

Combine like terms: 3lnx + -3lnx = 0
-7ln + 0 = 5
-7ln = 5

Solving
-7ln = 5

Solving for variable 'l'.

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

Divide each side by '-7n'.
l = -0.7142857143n-1

Simplifying
l = -0.7142857143n-1