ln(7-x)-ln(3x+2)=1

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Solution for ln(7-x)-ln(3x+2)=1 equation:


Simplifying
ln(7 + -1x) + -1ln(3x + 2) = 1
(7 * ln + -1x * ln) + -1ln(3x + 2) = 1
(7ln + -1lnx) + -1ln(3x + 2) = 1

Reorder the terms:
7ln + -1lnx + -1ln(2 + 3x) = 1
7ln + -1lnx + (2 * -1ln + 3x * -1ln) = 1
7ln + -1lnx + (-2ln + -3lnx) = 1

Reorder the terms:
7ln + -2ln + -1lnx + -3lnx = 1

Combine like terms: 7ln + -2ln = 5ln
5ln + -1lnx + -3lnx = 1

Combine like terms: -1lnx + -3lnx = -4lnx
5ln + -4lnx = 1

Solving
5ln + -4lnx = 1

Solving for variable 'l'.

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

Reorder the terms:
-1 + 5ln + -4lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 5ln + -4lnx = 0

The solution to this equation could not be determined.

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