Ln(x+12)=2ln(x)

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Solution for Ln(x+12)=2ln(x) equation: 


Simplifying
Ln(x + 12) = 2ln(x)

Reorder the terms:
nL(12 + x) = 2ln(x)
(12 * nL + x * nL) = 2ln(x)
(12nL + nxL) = 2ln(x)

Multiply ln * x
12nL + nxL = 2lnx

Solving
12nL + nxL = 2lnx

Solving for variable 'n'.

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

Add '-2lnx' to each side of the equation.
12nL + -2lnx + nxL = 2lnx + -2lnx

Reorder the terms:
-2lnx + 12nL + nxL = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-2lnx + 12nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2lx + 12L + xL) = 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 '(-2lx + 12L + xL)' equal to zero and attempt to solve:

Simplifying
-2lx + 12L + xL = 0

Reorder the terms:
12L + -2lx + xL = 0

Solving
12L + -2lx + xL = 0

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

Add '-12L' to each side of the equation.
12L + -2lx + -12L + xL = 0 + -12L

Reorder the terms:
12L + -12L + -2lx + xL = 0 + -12L

Combine like terms: 12L + -12L = 0
0 + -2lx + xL = 0 + -12L
-2lx + xL = 0 + -12L
Remove the zero:
-2lx + xL = -12L

Add '2lx' to each side of the equation.
-2lx + 2lx + xL = -12L + 2lx

Combine like terms: -2lx + 2lx = 0
0 + xL = -12L + 2lx
xL = -12L + 2lx

Add '-1xL' to each side of the equation.
xL + -1xL = -12L + 2lx + -1xL

Combine like terms: xL + -1xL = 0
0 = -12L + 2lx + -1xL

Simplifying
0 = -12L + 2lx + -1xL

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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