ln(x+2)+ln(x+8)=0

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Solution for ln(x+2)+ln(x+8)=0 equation: 


Simplifying
ln(x + 2) + ln(x + 8) = 0

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

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

Reorder the terms:
2ln + 8ln + lnx + lnx = 0

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

Combine like terms: lnx + lnx = 2lnx
10ln + 2lnx = 0

Solving
10ln + 2lnx = 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), '2ln'.
2ln(5 + x) = 0

Ignore the factor 2.

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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Add '-1x' to each side of the equation.
x + -1x = -5 + -1x

Combine like terms: x + -1x = 0
0 = -5 + -1x

Simplifying
0 = -5 + -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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