Ln(7x+1)-ln(x-1)=2

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Solution for Ln(7x+1)-ln(x-1)=2 equation: 


Simplifying
Ln(7x + 1) + -1ln(x + -1) = 2

Reorder the terms:
nL(1 + 7x) + -1ln(x + -1) = 2
(1 * nL + 7x * nL) + -1ln(x + -1) = 2
(1nL + 7nxL) + -1ln(x + -1) = 2

Reorder the terms:
1nL + 7nxL + -1ln(-1 + x) = 2
1nL + 7nxL + (-1 * -1ln + x * -1ln) = 2
1nL + 7nxL + (1ln + -1lnx) = 2

Reorder the terms:
1ln + -1lnx + 1nL + 7nxL = 2

Solving
1ln + -1lnx + 1nL + 7nxL = 2

Solving for variable 'l'.

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

Add '-1nL' to each side of the equation.
1ln + -1lnx + 1nL + -1nL + 7nxL = 2 + -1nL

Combine like terms: 1nL + -1nL = 0
1ln + -1lnx + 0 + 7nxL = 2 + -1nL
1ln + -1lnx + 7nxL = 2 + -1nL

Add '-7nxL' to each side of the equation.
1ln + -1lnx + 7nxL + -7nxL = 2 + -1nL + -7nxL

Combine like terms: 7nxL + -7nxL = 0
1ln + -1lnx + 0 = 2 + -1nL + -7nxL
1ln + -1lnx = 2 + -1nL + -7nxL

Reorder the terms:
-2 + 1ln + -1lnx + nL + 7nxL = 2 + -1nL + -7nxL + -2 + nL + 7nxL

Reorder the terms:
-2 + 1ln + -1lnx + nL + 7nxL = 2 + -2 + -1nL + nL + -7nxL + 7nxL

Combine like terms: 2 + -2 = 0
-2 + 1ln + -1lnx + nL + 7nxL = 0 + -1nL + nL + -7nxL + 7nxL
-2 + 1ln + -1lnx + nL + 7nxL = -1nL + nL + -7nxL + 7nxL

Combine like terms: -1nL + nL = 0
-2 + 1ln + -1lnx + nL + 7nxL = 0 + -7nxL + 7nxL
-2 + 1ln + -1lnx + nL + 7nxL = -7nxL + 7nxL

Combine like terms: -7nxL + 7nxL = 0
-2 + 1ln + -1lnx + nL + 7nxL = 0

The solution to this equation could not be determined.

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