Ln(3-2x)-2lnx=5

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Solution for Ln(3-2x)-2lnx=5 equation: 


Simplifying
Ln(3 + -2x) + -2lnx = 5
(3 * nL + -2x * nL) + -2lnx = 5
(3nL + -2nxL) + -2lnx = 5

Reorder the terms:
-2lnx + 3nL + -2nxL = 5

Solving
-2lnx + 3nL + -2nxL = 5

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 + -2nxL = 5 + -3nL

Combine like terms: 3nL + -3nL = 0
-2lnx + 0 + -2nxL = 5 + -3nL
-2lnx + -2nxL = 5 + -3nL

Add '2nxL' to each side of the equation.
-2lnx + -2nxL + 2nxL = 5 + -3nL + 2nxL

Combine like terms: -2nxL + 2nxL = 0
-2lnx + 0 = 5 + -3nL + 2nxL
-2lnx = 5 + -3nL + 2nxL

Divide each side by '-2nx'.
l = -2.5n-1x-1 + 1.5x-1L + -1L

Simplifying
l = -2.5n-1x-1 + 1.5x-1L + -1L

Reorder the terms:
l = -1L + -2.5n-1x-1 + 1.5x-1L

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