Ln(4x-5)=ln(2x+11)

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Solution for Ln(4x-5)=ln(2x+11) equation: 


Simplifying
Ln(4x + -5) = ln(2x + 11)

Reorder the terms:
nL(-5 + 4x) = ln(2x + 11)
(-5 * nL + 4x * nL) = ln(2x + 11)
(-5nL + 4nxL) = ln(2x + 11)

Reorder the terms:
-5nL + 4nxL = ln(11 + 2x)
-5nL + 4nxL = (11 * ln + 2x * ln)
-5nL + 4nxL = (11ln + 2lnx)

Solving
-5nL + 4nxL = 11ln + 2lnx

Solving for variable 'n'.

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

Add '-11ln' to each side of the equation.
-5nL + -11ln + 4nxL = 11ln + -11ln + 2lnx

Reorder the terms:
-11ln + -5nL + 4nxL = 11ln + -11ln + 2lnx

Combine like terms: 11ln + -11ln = 0
-11ln + -5nL + 4nxL = 0 + 2lnx
-11ln + -5nL + 4nxL = 2lnx

Add '-2lnx' to each side of the equation.
-11ln + -5nL + -2lnx + 4nxL = 2lnx + -2lnx

Reorder the terms:
-11ln + -2lnx + -5nL + 4nxL = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-11ln + -2lnx + -5nL + 4nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-11l + -2lx + -5L + 4xL) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-11l + -2lx + -5L + 4xL)' equal to zero and attempt to solve:

Simplifying
-11l + -2lx + -5L + 4xL = 0

Reorder the terms:
-5L + -11l + -2lx + 4xL = 0

Solving
-5L + -11l + -2lx + 4xL = 0

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

Add '5L' to each side of the equation.
-5L + -11l + -2lx + 5L + 4xL = 0 + 5L

Reorder the terms:
-5L + 5L + -11l + -2lx + 4xL = 0 + 5L

Combine like terms: -5L + 5L = 0
0 + -11l + -2lx + 4xL = 0 + 5L
-11l + -2lx + 4xL = 0 + 5L
Remove the zero:
-11l + -2lx + 4xL = 5L

Add '11l' to each side of the equation.
-11l + -2lx + 11l + 4xL = 5L + 11l

Reorder the terms:
-11l + 11l + -2lx + 4xL = 5L + 11l

Combine like terms: -11l + 11l = 0
0 + -2lx + 4xL = 5L + 11l
-2lx + 4xL = 5L + 11l

Add '2lx' to each side of the equation.
-2lx + 2lx + 4xL = 5L + 11l + 2lx

Combine like terms: -2lx + 2lx = 0
0 + 4xL = 5L + 11l + 2lx
4xL = 5L + 11l + 2lx

Add '-4xL' to each side of the equation.
4xL + -4xL = 5L + 11l + 2lx + -4xL

Combine like terms: 4xL + -4xL = 0
0 = 5L + 11l + 2lx + -4xL

Simplifying
0 = 5L + 11l + 2lx + -4xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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