ln(x+5)-2ln(x-1)=0

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Solution for ln(x+5)-2ln(x-1)=0 equation: 


Simplifying
ln(x + 5) + -2ln(x + -1) = 0

Reorder the terms:
ln(5 + x) + -2ln(x + -1) = 0
(5 * ln + x * ln) + -2ln(x + -1) = 0
(5ln + lnx) + -2ln(x + -1) = 0

Reorder the terms:
5ln + lnx + -2ln(-1 + x) = 0
5ln + lnx + (-1 * -2ln + x * -2ln) = 0
5ln + lnx + (2ln + -2lnx) = 0

Reorder the terms:
5ln + 2ln + lnx + -2lnx = 0

Combine like terms: 5ln + 2ln = 7ln
7ln + lnx + -2lnx = 0

Combine like terms: lnx + -2lnx = -1lnx
7ln + -1lnx = 0

Solving
7ln + -1lnx = 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(7 + -1x) = 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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Add 'x' to each side of the equation.
-1x + x = -7 + x

Combine like terms: -1x + x = 0
0 = -7 + x

Simplifying
0 = -7 + x

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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