Ln(x+7)+Ln(x-7)=Ln(7)

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Solution for Ln(x+7)+Ln(x-7)=Ln(7) equation: 


Simplifying
Ln(x + 7) + Ln(x + -7) = Ln(7)

Reorder the terms:
nL(7 + x) + Ln(x + -7) = Ln(7)
(7 * nL + x * nL) + Ln(x + -7) = Ln(7)
(7nL + nxL) + Ln(x + -7) = Ln(7)

Reorder the terms:
7nL + nxL + nL(-7 + x) = Ln(7)
7nL + nxL + (-7 * nL + x * nL) = Ln(7)
7nL + nxL + (-7nL + nxL) = Ln(7)

Reorder the terms:
7nL + -7nL + nxL + nxL = Ln(7)

Combine like terms: 7nL + -7nL = 0
0 + nxL + nxL = Ln(7)
nxL + nxL = Ln(7)

Combine like terms: nxL + nxL = 2nxL
2nxL = Ln(7)

Reorder the terms for easier multiplication:
2nxL = 7nL

Solving
2nxL = 7nL

Solving for variable 'n'.

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

Add '-7nL' to each side of the equation.
-7nL + 2nxL = 7nL + -7nL

Combine like terms: 7nL + -7nL = 0
-7nL + 2nxL = 0

Factor out the Greatest Common Factor (GCF), 'nL'.
nL(-7 + 2x) = 0


Subproblem 1
Set the factor 'nL' equal to zero and attempt to solve:

Simplifying
nL = 0

Solving
nL = 0

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

Simplifying
nL = 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 '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Add '-2x' to each side of the equation.
2x + -2x = 7 + -2x

Combine like terms: 2x + -2x = 0
0 = 7 + -2x

Simplifying
0 = 7 + -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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