Ln(x-2)+lnx=1

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


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

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

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

Solving
lnx + -2nL + nxL = 1

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.
lnx + -2nL + 2nL + nxL = 1 + 2nL

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

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

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

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

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

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

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