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

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

Simplifying
ln(x) + ln(x + 2) = ln(4)

Multiply ln * x
lnx + ln(x + 2) = ln(4)

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

Reorder the terms:
2ln + lnx + lnx = ln(4)

Combine like terms: lnx + lnx = 2lnx
2ln + 2lnx = ln(4)

Reorder the terms for easier multiplication:
2ln + 2lnx = 4ln

Solving
2ln + 2lnx = 4ln

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
2ln + -4ln + 2lnx = 4ln + -4ln

Combine like terms: 2ln + -4ln = -2ln
-2ln + 2lnx = 4ln + -4ln

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

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-1 + x) = 0

Ignore the factor 2.
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 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 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 + x = 0 + 1

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

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

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

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

Simplifying
0 = 1 + -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.