ln(4x+1)-ln(3x-1)=3

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Solution for ln(4x+1)-ln(3x-1)=3 equation:


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

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

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

Reorder the terms:
1ln + 1ln + 4lnx + -3lnx = 3

Combine like terms: 1ln + 1ln = 2ln
2ln + 4lnx + -3lnx = 3

Combine like terms: 4lnx + -3lnx = 1lnx
2ln + 1lnx = 3

Solving
2ln + 1lnx = 3

Solving for variable 'l'.

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

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

Combine like terms: 3 + -3 = 0
-3 + 2ln + 1lnx = 0

The solution to this equation could not be determined.

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