ln(2x+1)+ln(x+3)=0

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Solution for ln(2x+1)+ln(x+3)=0 equation:


Simplifying
ln(2x + 1) + ln(x + 3) = 0

Reorder the terms:
ln(1 + 2x) + ln(x + 3) = 0
(1 * ln + 2x * ln) + ln(x + 3) = 0
(1ln + 2lnx) + ln(x + 3) = 0

Reorder the terms:
1ln + 2lnx + ln(3 + x) = 0
1ln + 2lnx + (3 * ln + x * ln) = 0
1ln + 2lnx + (3ln + lnx) = 0

Reorder the terms:
1ln + 3ln + 2lnx + lnx = 0

Combine like terms: 1ln + 3ln = 4ln
4ln + 2lnx + lnx = 0

Combine like terms: 2lnx + lnx = 3lnx
4ln + 3lnx = 0

Solving
4ln + 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), 'ln'.
ln(4 + 3x) = 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 '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Add '-3x' to each side of the equation. 3x + -3x = -4 + -3x Combine like terms: 3x + -3x = 0 0 = -4 + -3x Simplifying 0 = -4 + -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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