ln(7x+6)-ln(x-4)=1

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Solution for ln(7x+6)-ln(x-4)=1 equation: 


Simplifying
ln(7x + 6) + -1ln(x + -4) = 1

Reorder the terms:
ln(6 + 7x) + -1ln(x + -4) = 1
(6 * ln + 7x * ln) + -1ln(x + -4) = 1
(6ln + 7lnx) + -1ln(x + -4) = 1

Reorder the terms:
6ln + 7lnx + -1ln(-4 + x) = 1
6ln + 7lnx + (-4 * -1ln + x * -1ln) = 1
6ln + 7lnx + (4ln + -1lnx) = 1

Reorder the terms:
6ln + 4ln + 7lnx + -1lnx = 1

Combine like terms: 6ln + 4ln = 10ln
10ln + 7lnx + -1lnx = 1

Combine like terms: 7lnx + -1lnx = 6lnx
10ln + 6lnx = 1

Solving
10ln + 6lnx = 1

Solving for variable 'l'.

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

Reorder the terms:
-1 + 10ln + 6lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 10ln + 6lnx = 0

The solution to this equation could not be determined.

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