ln(x+12)-2ln(x)=0

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Solution for ln(x+12)-2ln(x)=0 equation: 


Simplifying
ln(x + 12) + -2ln(x) = 0

Reorder the terms:
ln(12 + x) + -2ln(x) = 0
(12 * ln + x * ln) + -2ln(x) = 0
(12ln + lnx) + -2ln(x) = 0

Multiply ln * x
12ln + lnx + -2lnx = 0

Combine like terms: lnx + -2lnx = -1lnx
12ln + -1lnx = 0

Solving
12ln + -1lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(12 + -1x) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Add 'x' to each side of the equation.
-1x + x = -12 + x

Combine like terms: -1x + x = 0
0 = -12 + x

Simplifying
0 = -12 + x

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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