ln(x-4)+ln(x+7)=0

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Solution for ln(x-4)+ln(x+7)=0 equation: 


Simplifying
ln(x + -4) + ln(x + 7) = 0

Reorder the terms:
ln(-4 + x) + ln(x + 7) = 0
(-4 * ln + x * ln) + ln(x + 7) = 0
(-4ln + lnx) + ln(x + 7) = 0

Reorder the terms:
-4ln + lnx + ln(7 + x) = 0
-4ln + lnx + (7 * ln + x * ln) = 0
-4ln + lnx + (7ln + lnx) = 0

Reorder the terms:
-4ln + 7ln + lnx + lnx = 0

Combine like terms: -4ln + 7ln = 3ln
3ln + lnx + lnx = 0

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

Solving
3ln + 2lnx = 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 + 2x) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Add '-2x' to each side of the equation.
2x + -2x = -3 + -2x

Combine like terms: 2x + -2x = 0
0 = -3 + -2x

Simplifying
0 = -3 + -2x

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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