ln*(2x+1)+ln*(x-5)=ln*13

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Solution for ln*(2x+1)+ln*(x-5)=ln*13 equation: 


Simplifying
ln(2x + 1) + ln(x + -5) = ln * 13

Reorder the terms:
ln(1 + 2x) + ln(x + -5) = ln * 13
(1 * ln + 2x * ln) + ln(x + -5) = ln * 13
(1ln + 2lnx) + ln(x + -5) = ln * 13

Reorder the terms:
1ln + 2lnx + ln(-5 + x) = ln * 13
1ln + 2lnx + (-5 * ln + x * ln) = ln * 13
1ln + 2lnx + (-5ln + lnx) = ln * 13

Reorder the terms:
1ln + -5ln + 2lnx + lnx = ln * 13

Combine like terms: 1ln + -5ln = -4ln
-4ln + 2lnx + lnx = ln * 13

Combine like terms: 2lnx + lnx = 3lnx
-4ln + 3lnx = ln * 13

Reorder the terms for easier multiplication:
-4ln + 3lnx = 13ln

Solving
-4ln + 3lnx = 13ln

Solving for variable 'l'.

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

Add '-13ln' to each side of the equation.
-4ln + -13ln + 3lnx = 13ln + -13ln

Combine like terms: -4ln + -13ln = -17ln
-17ln + 3lnx = 13ln + -13ln

Combine like terms: 13ln + -13ln = 0
-17ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-17 + 3x) = 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 '(-17 + 3x)' equal to zero and attempt to solve:

Simplifying
-17 + 3x = 0

Solving
-17 + 3x = 0

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

Add '17' to each side of the equation.
-17 + 17 + 3x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = 0 + 17
3x = 0 + 17

Combine like terms: 0 + 17 = 17
3x = 17

Add '-3x' to each side of the equation.
3x + -3x = 17 + -3x

Combine like terms: 3x + -3x = 0
0 = 17 + -3x

Simplifying
0 = 17 + -3x

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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