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

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


Simplifying
2ln(x + 2) + -1ln(8x) = 0

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

Remove parenthesis around (8x)
4ln + 2lnx + -1ln * 8x = 0

Reorder the terms for easier multiplication:
4ln + 2lnx + -1 * 8ln * x = 0

Multiply -1 * 8
4ln + 2lnx + -8ln * x = 0

Multiply ln * x
4ln + 2lnx + -8lnx = 0

Combine like terms: 2lnx + -8lnx = -6lnx
4ln + -6lnx = 0

Solving
4ln + -6lnx = 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(2 + -3x) = 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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Add '3x' to each side of the equation.
-3x + 3x = -2 + 3x

Combine like terms: -3x + 3x = 0
0 = -2 + 3x

Simplifying
0 = -2 + 3x

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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