Ln(x-2)-lnx=5

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Solution for Ln(x-2)-lnx=5 equation: 


Simplifying
Ln(x + -2) + -1lnx = 5

Reorder the terms:
nL(-2 + x) + -1lnx = 5
(-2 * nL + x * nL) + -1lnx = 5
(-2nL + nxL) + -1lnx = 5

Reorder the terms:
-1lnx + -2nL + nxL = 5

Solving
-1lnx + -2nL + nxL = 5

Solving for variable 'l'.

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

Add '2nL' to each side of the equation.
-1lnx + -2nL + 2nL + nxL = 5 + 2nL

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

Add '-1nxL' to each side of the equation.
-1lnx + nxL + -1nxL = 5 + 2nL + -1nxL

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

Divide each side by '-1nx'.
l = -5n-1x-1 + -2x-1L + L

Simplifying
l = -5n-1x-1 + -2x-1L + L

Reorder the terms:
l = L + -5n-1x-1 + -2x-1L

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