Ln(x-3)-ln(2x)=2.4

Solution for Ln(x-3)-ln(2x)=2.4 equation:

Simplifying
Ln(x + -3) + -1ln(2x) = 2.4

Reorder the terms:
nL(-3 + x) + -1ln(2x) = 2.4
(-3 * nL + x * nL) + -1ln(2x) = 2.4
(-3nL + nxL) + -1ln(2x) = 2.4

Remove parenthesis around (2x)
-3nL + nxL + -1ln * 2x = 2.4

Reorder the terms for easier multiplication:
-3nL + nxL + -1 * 2ln * x = 2.4

Multiply -1 * 2
-3nL + nxL + -2ln * x = 2.4

Multiply ln * x
-3nL + nxL + -2lnx = 2.4

Reorder the terms:
-2lnx + -3nL + nxL = 2.4

Solving
-2lnx + -3nL + nxL = 2.4

Solving for variable 'l'.

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

Add '3nL' to each side of the equation.
-2lnx + -3nL + 3nL + nxL = 2.4 + 3nL

Combine like terms: -3nL + 3nL = 0
-2lnx + 0 + nxL = 2.4 + 3nL
-2lnx + nxL = 2.4 + 3nL

Add '-1nxL' to each side of the equation.
-2lnx + nxL + -1nxL = 2.4 + 3nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-2lnx + 0 = 2.4 + 3nL + -1nxL
-2lnx = 2.4 + 3nL + -1nxL

Divide each side by '-2nx'.
l = -1.2n-1x-1 + -1.5x-1L + 0.5L

Simplifying
l = -1.2n-1x-1 + -1.5x-1L + 0.5L

Reorder the terms:
l = 0.5L + -1.2n-1x-1 + -1.5x-1L