ln((x^2)+2)-ln(9)=ln(22)

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Solution for ln((x^2)+2)-ln(9)=ln(22) equation: 


Simplifying
ln((x2) + 2) + -1ln(9) = ln(22)
ln(x2 + 2) + -1ln(9) = ln(22)

Reorder the terms:
ln(2 + x2) + -1ln(9) = ln(22)
(2 * ln + x2 * ln) + -1ln(9) = ln(22)
(2ln + lnx2) + -1ln(9) = ln(22)

Reorder the terms for easier multiplication:
2ln + lnx2 + -1 * 9ln = ln(22)

Multiply -1 * 9
2ln + lnx2 + -9ln = ln(22)

Reorder the terms:
2ln + -9ln + lnx2 = ln(22)

Combine like terms: 2ln + -9ln = -7ln
-7ln + lnx2 = ln(22)

Reorder the terms for easier multiplication:
-7ln + lnx2 = 22ln

Solving
-7ln + lnx2 = 22ln

Solving for variable 'l'.

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

Add '-22ln' to each side of the equation.
-7ln + -22ln + lnx2 = 22ln + -22ln

Combine like terms: -7ln + -22ln = -29ln
-29ln + lnx2 = 22ln + -22ln

Combine like terms: 22ln + -22ln = 0
-29ln + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-29 + x2) = 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 '(-29 + x2)' equal to zero and attempt to solve:

Simplifying
-29 + x2 = 0

Solving
-29 + x2 = 0

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

Add '29' to each side of the equation.
-29 + 29 + x2 = 0 + 29

Combine like terms: -29 + 29 = 0
0 + x2 = 0 + 29
x2 = 0 + 29

Combine like terms: 0 + 29 = 29
x2 = 29

Add '-1x2' to each side of the equation.
x2 + -1x2 = 29 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 29 + -1x2

Simplifying
0 = 29 + -1x2

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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