Ln(3x+4)-ln(2x+1)=0

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Solution for Ln(3x+4)-ln(2x+1)=0 equation: 


Simplifying
Ln(3x + 4) + -1ln(2x + 1) = 0

Reorder the terms:
nL(4 + 3x) + -1ln(2x + 1) = 0
(4 * nL + 3x * nL) + -1ln(2x + 1) = 0
(4nL + 3nxL) + -1ln(2x + 1) = 0

Reorder the terms:
4nL + 3nxL + -1ln(1 + 2x) = 0
4nL + 3nxL + (1 * -1ln + 2x * -1ln) = 0
4nL + 3nxL + (-1ln + -2lnx) = 0

Reorder the terms:
-1ln + -2lnx + 4nL + 3nxL = 0

Solving
-1ln + -2lnx + 4nL + 3nxL = 0

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 = 0 + -4nL

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1l + -2lx + 4L + 3xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1l + -2lx + 4L + 3xL)' equal to zero and attempt to solve:

Simplifying
-1l + -2lx + 4L + 3xL = 0

Reorder the terms:
4L + -1l + -2lx + 3xL = 0

Solving
4L + -1l + -2lx + 3xL = 0

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

Add '-4L' to each side of the equation.
4L + -1l + -2lx + -4L + 3xL = 0 + -4L

Reorder the terms:
4L + -4L + -1l + -2lx + 3xL = 0 + -4L

Combine like terms: 4L + -4L = 0
0 + -1l + -2lx + 3xL = 0 + -4L
-1l + -2lx + 3xL = 0 + -4L
Remove the zero:
-1l + -2lx + 3xL = -4L

Add '-3xL' to each side of the equation.
-1l + -2lx + 3xL + -3xL = -4L + -3xL

Combine like terms: 3xL + -3xL = 0
-1l + -2lx + 0 = -4L + -3xL
-1l + -2lx = -4L + -3xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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