ln(x-2)+ln(x+2)=ln(21)

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Solution for ln(x-2)+ln(x+2)=ln(21) equation: 


Simplifying
ln(x + -2) + ln(x + 2) = ln(21)

Reorder the terms:
ln(-2 + x) + ln(x + 2) = ln(21)
(-2 * ln + x * ln) + ln(x + 2) = ln(21)
(-2ln + lnx) + ln(x + 2) = ln(21)

Reorder the terms:
-2ln + lnx + ln(2 + x) = ln(21)
-2ln + lnx + (2 * ln + x * ln) = ln(21)
-2ln + lnx + (2ln + lnx) = ln(21)

Reorder the terms:
-2ln + 2ln + lnx + lnx = ln(21)

Combine like terms: -2ln + 2ln = 0
0 + lnx + lnx = ln(21)
lnx + lnx = ln(21)

Combine like terms: lnx + lnx = 2lnx
2lnx = ln(21)

Reorder the terms for easier multiplication:
2lnx = 21ln

Solving
2lnx = 21ln

Solving for variable 'l'.

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

Add '-21ln' to each side of the equation.
-21ln + 2lnx = 21ln + -21ln

Combine like terms: 21ln + -21ln = 0
-21ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-21 + 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 '(-21 + 2x)' equal to zero and attempt to solve:

Simplifying
-21 + 2x = 0

Solving
-21 + 2x = 0

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

Add '21' to each side of the equation.
-21 + 21 + 2x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = 0 + 21
2x = 0 + 21

Combine like terms: 0 + 21 = 21
2x = 21

Add '-2x' to each side of the equation.
2x + -2x = 21 + -2x

Combine like terms: 2x + -2x = 0
0 = 21 + -2x

Simplifying
0 = 21 + -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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