Ln(x^2-9)=ln(x+11)

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Solution for Ln(x^2-9)=ln(x+11) equation: 


Simplifying
Ln(x2 + -9) = ln(x + 11)

Reorder the terms:
nL(-9 + x2) = ln(x + 11)
(-9 * nL + x2 * nL) = ln(x + 11)
(-9nL + nx2L) = ln(x + 11)

Reorder the terms:
-9nL + nx2L = ln(11 + x)
-9nL + nx2L = (11 * ln + x * ln)
-9nL + nx2L = (11ln + lnx)

Solving
-9nL + nx2L = 11ln + lnx

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.
-9nL + -11ln + nx2L = 11ln + -11ln + lnx

Reorder the terms:
-11ln + -9nL + nx2L = 11ln + -11ln + lnx

Combine like terms: 11ln + -11ln = 0
-11ln + -9nL + nx2L = 0 + lnx
-11ln + -9nL + nx2L = lnx

Add '-1lnx' to each side of the equation.
-11ln + -9nL + -1lnx + nx2L = lnx + -1lnx

Reorder the terms:
-11ln + -1lnx + -9nL + nx2L = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-11ln + -1lnx + -9nL + nx2L = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-11l + -1lx + -9L + x2L) = 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 + -1lx + -9L + x2L)' equal to zero and attempt to solve:

Simplifying
-11l + -1lx + -9L + x2L = 0

Reorder the terms:
-9L + -11l + -1lx + x2L = 0

Solving
-9L + -11l + -1lx + x2L = 0

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

Add '9L' to each side of the equation.
-9L + -11l + -1lx + 9L + x2L = 0 + 9L

Reorder the terms:
-9L + 9L + -11l + -1lx + x2L = 0 + 9L

Combine like terms: -9L + 9L = 0
0 + -11l + -1lx + x2L = 0 + 9L
-11l + -1lx + x2L = 0 + 9L
Remove the zero:
-11l + -1lx + x2L = 9L

Add '11l' to each side of the equation.
-11l + -1lx + 11l + x2L = 9L + 11l

Reorder the terms:
-11l + 11l + -1lx + x2L = 9L + 11l

Combine like terms: -11l + 11l = 0
0 + -1lx + x2L = 9L + 11l
-1lx + x2L = 9L + 11l

Add 'lx' to each side of the equation.
-1lx + lx + x2L = 9L + 11l + lx

Combine like terms: -1lx + lx = 0
0 + x2L = 9L + 11l + lx
x2L = 9L + 11l + lx

Add '-1x2L' to each side of the equation.
x2L + -1x2L = 9L + 11l + lx + -1x2L

Combine like terms: x2L + -1x2L = 0
0 = 9L + 11l + lx + -1x2L

Simplifying
0 = 9L + 11l + lx + -1x2L

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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