Ln(3x-4)-ln(2x-1)=4

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Solution for Ln(3x-4)-ln(2x-1)=4 equation:


Simplifying
Ln(3x + -4) + -1ln(2x + -1) = 4

Reorder the terms:
nL(-4 + 3x) + -1ln(2x + -1) = 4
(-4 * nL + 3x * nL) + -1ln(2x + -1) = 4
(-4nL + 3nxL) + -1ln(2x + -1) = 4

Reorder the terms:
-4nL + 3nxL + -1ln(-1 + 2x) = 4
-4nL + 3nxL + (-1 * -1ln + 2x * -1ln) = 4
-4nL + 3nxL + (1ln + -2lnx) = 4

Reorder the terms:
1ln + -2lnx + -4nL + 3nxL = 4

Solving
1ln + -2lnx + -4nL + 3nxL = 4

Solving for variable 'l'.

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

Add '4nL' to each side of the equation.
1ln + -2lnx + -4nL + 4nL + 3nxL = 4 + 4nL

Combine like terms: -4nL + 4nL = 0
1ln + -2lnx + 0 + 3nxL = 4 + 4nL
1ln + -2lnx + 3nxL = 4 + 4nL

Add '-3nxL' to each side of the equation.
1ln + -2lnx + 3nxL + -3nxL = 4 + 4nL + -3nxL

Combine like terms: 3nxL + -3nxL = 0
1ln + -2lnx + 0 = 4 + 4nL + -3nxL
1ln + -2lnx = 4 + 4nL + -3nxL

Reorder the terms:
-4 + 1ln + -2lnx + -4nL + 3nxL = 4 + 4nL + -3nxL + -4 + -4nL + 3nxL

Reorder the terms:
-4 + 1ln + -2lnx + -4nL + 3nxL = 4 + -4 + 4nL + -4nL + -3nxL + 3nxL

Combine like terms: 4 + -4 = 0
-4 + 1ln + -2lnx + -4nL + 3nxL = 0 + 4nL + -4nL + -3nxL + 3nxL
-4 + 1ln + -2lnx + -4nL + 3nxL = 4nL + -4nL + -3nxL + 3nxL

Combine like terms: 4nL + -4nL = 0
-4 + 1ln + -2lnx + -4nL + 3nxL = 0 + -3nxL + 3nxL
-4 + 1ln + -2lnx + -4nL + 3nxL = -3nxL + 3nxL

Combine like terms: -3nxL + 3nxL = 0
-4 + 1ln + -2lnx + -4nL + 3nxL = 0

The solution to this equation could not be determined.

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