[2ln(w-5)-ln(w+5)]=

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Solution for [2ln(w-5)-ln(w+5)]= equation: 


Simplifying
[2ln(w + -5) + -1ln(w + 5)] = 0

Reorder the terms:
[2ln(-5 + w) + -1ln(w + 5)] = 0
[(-5 * 2ln + w * 2ln) + -1ln(w + 5)] = 0
[(-10ln + 2lnw) + -1ln(w + 5)] = 0

Reorder the terms:
[-10ln + 2lnw + -1ln(5 + w)] = 0
[-10ln + 2lnw + (5 * -1ln + w * -1ln)] = 0
[-10ln + 2lnw + (-5ln + -1lnw)] = 0

Reorder the terms:
[-10ln + -5ln + 2lnw + -1lnw] = 0

Combine like terms: -10ln + -5ln = -15ln
[-15ln + 2lnw + -1lnw] = 0

Combine like terms: 2lnw + -1lnw = 1lnw
[-15ln + 1lnw] = 0

Remove brackets around [-15ln + 1lnw]
-15ln + 1lnw = 0

Solving
-15ln + 1lnw = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-15 + w) = 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 '(-15 + w)' equal to zero and attempt to solve:

Simplifying
-15 + w = 0

Solving
-15 + w = 0

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

Add '15' to each side of the equation.
-15 + 15 + w = 0 + 15

Combine like terms: -15 + 15 = 0
0 + w = 0 + 15
w = 0 + 15

Combine like terms: 0 + 15 = 15
w = 15

Add '-1w' to each side of the equation.
w + -1w = 15 + -1w

Combine like terms: w + -1w = 0
0 = 15 + -1w

Simplifying
0 = 15 + -1w

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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