ln(x+14)-2ln(x+2)=0

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Solution for ln(x+14)-2ln(x+2)=0 equation:


Simplifying
ln(x + 14) + -2ln(x + 2) = 0

Reorder the terms:
ln(14 + x) + -2ln(x + 2) = 0
(14 * ln + x * ln) + -2ln(x + 2) = 0
(14ln + lnx) + -2ln(x + 2) = 0

Reorder the terms:
14ln + lnx + -2ln(2 + x) = 0
14ln + lnx + (2 * -2ln + x * -2ln) = 0
14ln + lnx + (-4ln + -2lnx) = 0

Reorder the terms:
14ln + -4ln + lnx + -2lnx = 0

Combine like terms: 14ln + -4ln = 10ln
10ln + lnx + -2lnx = 0

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

Solving
10ln + -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(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Add 'x' to each side of the equation. -1x + x = -10 + x Combine like terms: -1x + x = 0 0 = -10 + x Simplifying 0 = -10 + 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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