Ln(x-4)-lnx=2

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Solution for Ln(x-4)-lnx=2 equation: 


Simplifying
Ln(x + -4) + -1lnx = 2

Reorder the terms:
nL(-4 + x) + -1lnx = 2
(-4 * nL + x * nL) + -1lnx = 2
(-4nL + nxL) + -1lnx = 2

Reorder the terms:
-1lnx + -4nL + nxL = 2

Solving
-1lnx + -4nL + nxL = 2

Solving for variable 'l'.

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

Add '4nL' to each side of the equation.
-1lnx + -4nL + 4nL + nxL = 2 + 4nL

Combine like terms: -4nL + 4nL = 0
-1lnx + 0 + nxL = 2 + 4nL
-1lnx + nxL = 2 + 4nL

Add '-1nxL' to each side of the equation.
-1lnx + nxL + -1nxL = 2 + 4nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-1lnx + 0 = 2 + 4nL + -1nxL
-1lnx = 2 + 4nL + -1nxL

Divide each side by '-1nx'.
l = -2n-1x-1 + -4x-1L + L

Simplifying
l = -2n-1x-1 + -4x-1L + L

Reorder the terms:
l = L + -2n-1x-1 + -4x-1L

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