ln(x-3)-ln(x-4)=Ln(7-x)

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Solution for ln(x-3)-ln(x-4)=Ln(7-x) equation: 


Simplifying
ln(x + -3) + -1ln(x + -4) = Ln(7 + -1x)

Reorder the terms:
ln(-3 + x) + -1ln(x + -4) = Ln(7 + -1x)
(-3 * ln + x * ln) + -1ln(x + -4) = Ln(7 + -1x)
(-3ln + lnx) + -1ln(x + -4) = Ln(7 + -1x)

Reorder the terms:
-3ln + lnx + -1ln(-4 + x) = Ln(7 + -1x)
-3ln + lnx + (-4 * -1ln + x * -1ln) = Ln(7 + -1x)
-3ln + lnx + (4ln + -1lnx) = Ln(7 + -1x)

Reorder the terms:
-3ln + 4ln + lnx + -1lnx = Ln(7 + -1x)

Combine like terms: -3ln + 4ln = 1ln
1ln + lnx + -1lnx = Ln(7 + -1x)

Combine like terms: lnx + -1lnx = 0
1ln + 0 = Ln(7 + -1x)
1ln = Ln(7 + -1x)
1ln = (7 * nL + -1x * nL)
1ln = (7nL + -1nxL)

Solving
1ln = 7nL + -1nxL

Solving for variable 'l'.

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

Divide each side by '1n'.
l = 7L + -1xL

Simplifying
l = 7L + -1xL

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