Ln(6-2x)-lnx=1

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Solution for Ln(6-2x)-lnx=1 equation: 


Simplifying
Ln(6 + -2x) + -1lnx = 1
(6 * nL + -2x * nL) + -1lnx = 1
(6nL + -2nxL) + -1lnx = 1

Reorder the terms:
-1lnx + 6nL + -2nxL = 1

Solving
-1lnx + 6nL + -2nxL = 1

Solving for variable 'l'.

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

Add '-6nL' to each side of the equation.
-1lnx + 6nL + -6nL + -2nxL = 1 + -6nL

Combine like terms: 6nL + -6nL = 0
-1lnx + 0 + -2nxL = 1 + -6nL
-1lnx + -2nxL = 1 + -6nL

Add '2nxL' to each side of the equation.
-1lnx + -2nxL + 2nxL = 1 + -6nL + 2nxL

Combine like terms: -2nxL + 2nxL = 0
-1lnx + 0 = 1 + -6nL + 2nxL
-1lnx = 1 + -6nL + 2nxL

Divide each side by '-1nx'.
l = -1n-1x-1 + 6x-1L + -2L

Simplifying
l = -1n-1x-1 + 6x-1L + -2L

Reorder the terms:
l = -2L + -1n-1x-1 + 6x-1L

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