2ln(x+4)-6lnx=0

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Solution for 2ln(x+4)-6lnx=0 equation:


Simplifying
2ln(x + 4) + -6lnx = 0

Reorder the terms:
2ln(4 + x) + -6lnx = 0
(4 * 2ln + x * 2ln) + -6lnx = 0
(8ln + 2lnx) + -6lnx = 0

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

Solving
8ln + -4lnx = 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), '4ln'.
4ln(2 + -1x) = 0

Ignore the factor 4.

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 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + 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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