ln(x+4)-ln(x+3)=lnx

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Solution for ln(x+4)-ln(x+3)=lnx equation: 


Simplifying
ln(x + 4) + -1ln(x + 3) = lnx

Reorder the terms:
ln(4 + x) + -1ln(x + 3) = lnx
(4 * ln + x * ln) + -1ln(x + 3) = lnx
(4ln + lnx) + -1ln(x + 3) = lnx

Reorder the terms:
4ln + lnx + -1ln(3 + x) = lnx
4ln + lnx + (3 * -1ln + x * -1ln) = lnx
4ln + lnx + (-3ln + -1lnx) = lnx

Reorder the terms:
4ln + -3ln + lnx + -1lnx = lnx

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

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

Solving
1ln = lnx

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-1lnx' to each side of the equation.
1ln + -1lnx = lnx + -1lnx

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(1 + -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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing l to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Add 'x' to each side of the equation.
-1x + x = -1 + x

Combine like terms: -1x + x = 0
0 = -1 + x

Simplifying
0 = -1 + 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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