ln(x)+ln(2x+6)=0

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


Simplifying
ln(x) + ln(2x + 6) = 0

Multiply ln * x
lnx + ln(2x + 6) = 0

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

Reorder the terms:
6ln + lnx + 2lnx = 0

Combine like terms: lnx + 2lnx = 3lnx
6ln + 3lnx = 0

Solving
6ln + 3lnx = 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), '3ln'.
3ln(2 + x) = 0

Ignore the factor 3.

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