ln(x^2+7)=2ln(2)

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Solution for ln(x^2+7)=2ln(2) equation: 


Simplifying
ln(x2 + 7) = 2ln(2)

Reorder the terms:
ln(7 + x2) = 2ln(2)
(7 * ln + x2 * ln) = 2ln(2)
(7ln + lnx2) = 2ln(2)

Reorder the terms for easier multiplication:
7ln + lnx2 = 2 * 2ln

Multiply 2 * 2
7ln + lnx2 = 4ln

Solving
7ln + lnx2 = 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.
7ln + -4ln + lnx2 = 4ln + -4ln

Combine like terms: 7ln + -4ln = 3ln
3ln + lnx2 = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
3ln + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3 + 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 '(3 + x2)' equal to zero and attempt to solve:

Simplifying
3 + x2 = 0

Solving
3 + x2 = 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 + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x2 = 0 + -3
x2 = 0 + -3

Combine like terms: 0 + -3 = -3
x2 = -3

Add '-1x2' to each side of the equation.
x2 + -1x2 = -3 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = -3 + -1x2

Simplifying
0 = -3 + -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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