ln(x+4)-ln(2x+1)=

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Solution for ln(x+4)-ln(2x+1)= equation:


Simplifying
ln(x + 4) + -1ln(2x + 1) = 0

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

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

Reorder the terms:
4ln + -1ln + lnx + -2lnx = 0

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

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

Solving
3ln + -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(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + 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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