Ln*(2x-3)+Ln*(x-4)=2*Ln*2

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Solution for Ln*(2x-3)+Ln*(x-4)=2*Ln*2 equation: 


Simplifying
Ln(2x + -3) + Ln(x + -4) = 2Ln * 2

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

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

Reorder the terms:
-3nL + -4nL + 2nxL + nxL = 2Ln * 2

Combine like terms: -3nL + -4nL = -7nL
-7nL + 2nxL + nxL = 2Ln * 2

Combine like terms: 2nxL + nxL = 3nxL
-7nL + 3nxL = 2Ln * 2

Reorder the terms for easier multiplication:
-7nL + 3nxL = 2 * 2nL

Multiply 2 * 2
-7nL + 3nxL = 4nL

Solving
-7nL + 3nxL = 4nL

Solving for variable 'n'.

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

Add '-4nL' to each side of the equation.
-7nL + -4nL + 3nxL = 4nL + -4nL

Combine like terms: -7nL + -4nL = -11nL
-11nL + 3nxL = 4nL + -4nL

Combine like terms: 4nL + -4nL = 0
-11nL + 3nxL = 0

Factor out the Greatest Common Factor (GCF), 'nL'.
nL(-11 + 3x) = 0


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

Simplifying
nL = 0

Solving
nL = 0

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

Simplifying
nL = 0

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 '(-11 + 3x)' equal to zero and attempt to solve:

Simplifying
-11 + 3x = 0

Solving
-11 + 3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 0 + 11
3x = 0 + 11

Combine like terms: 0 + 11 = 11
3x = 11

Add '-3x' to each side of the equation.
3x + -3x = 11 + -3x

Combine like terms: 3x + -3x = 0
0 = 11 + -3x

Simplifying
0 = 11 + -3x

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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