Ln(x-6)-ln(x-1)=4

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Solution for Ln(x-6)-ln(x-1)=4 equation: 


Simplifying
Ln(x + -6) + -1ln(x + -1) = 4

Reorder the terms:
nL(-6 + x) + -1ln(x + -1) = 4
(-6 * nL + x * nL) + -1ln(x + -1) = 4
(-6nL + nxL) + -1ln(x + -1) = 4

Reorder the terms:
-6nL + nxL + -1ln(-1 + x) = 4
-6nL + nxL + (-1 * -1ln + x * -1ln) = 4
-6nL + nxL + (1ln + -1lnx) = 4

Reorder the terms:
1ln + -1lnx + -6nL + nxL = 4

Solving
1ln + -1lnx + -6nL + nxL = 4

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.
1ln + -1lnx + -6nL + 6nL + nxL = 4 + 6nL

Combine like terms: -6nL + 6nL = 0
1ln + -1lnx + 0 + nxL = 4 + 6nL
1ln + -1lnx + nxL = 4 + 6nL

Add '-1nxL' to each side of the equation.
1ln + -1lnx + nxL + -1nxL = 4 + 6nL + -1nxL

Combine like terms: nxL + -1nxL = 0
1ln + -1lnx + 0 = 4 + 6nL + -1nxL
1ln + -1lnx = 4 + 6nL + -1nxL

Reorder the terms:
-4 + 1ln + -1lnx + -6nL + nxL = 4 + 6nL + -1nxL + -4 + -6nL + nxL

Reorder the terms:
-4 + 1ln + -1lnx + -6nL + nxL = 4 + -4 + 6nL + -6nL + -1nxL + nxL

Combine like terms: 4 + -4 = 0
-4 + 1ln + -1lnx + -6nL + nxL = 0 + 6nL + -6nL + -1nxL + nxL
-4 + 1ln + -1lnx + -6nL + nxL = 6nL + -6nL + -1nxL + nxL

Combine like terms: 6nL + -6nL = 0
-4 + 1ln + -1lnx + -6nL + nxL = 0 + -1nxL + nxL
-4 + 1ln + -1lnx + -6nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-4 + 1ln + -1lnx + -6nL + nxL = 0

The solution to this equation could not be determined.

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