2ln(x+4)-ln(x-10)=0

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Solution for 2ln(x+4)-ln(x-10)=0 equation: 


Simplifying
2ln(x + 4) + -1ln(x + -10) = 0

Reorder the terms:
2ln(4 + x) + -1ln(x + -10) = 0
(4 * 2ln + x * 2ln) + -1ln(x + -10) = 0
(8ln + 2lnx) + -1ln(x + -10) = 0

Reorder the terms:
8ln + 2lnx + -1ln(-10 + x) = 0
8ln + 2lnx + (-10 * -1ln + x * -1ln) = 0
8ln + 2lnx + (10ln + -1lnx) = 0

Reorder the terms:
8ln + 10ln + 2lnx + -1lnx = 0

Combine like terms: 8ln + 10ln = 18ln
18ln + 2lnx + -1lnx = 0

Combine like terms: 2lnx + -1lnx = 1lnx
18ln + 1lnx = 0

Solving
18ln + 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(18 + x) = 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 '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Add '-1x' to each side of the equation.
x + -1x = -18 + -1x

Combine like terms: x + -1x = 0
0 = -18 + -1x

Simplifying
0 = -18 + -1x

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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