5ln(x-11)-8ln(x)=

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Solution for 5ln(x-11)-8ln(x)= equation: 


Simplifying
5ln(x + -11) + -8ln(x) = 0

Reorder the terms:
5ln(-11 + x) + -8ln(x) = 0
(-11 * 5ln + x * 5ln) + -8ln(x) = 0
(-55ln + 5lnx) + -8ln(x) = 0

Multiply ln * x
-55ln + 5lnx + -8lnx = 0

Combine like terms: 5lnx + -8lnx = -3lnx
-55ln + -3lnx = 0

Solving
-55ln + -3lnx = 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), '-1ln'.
-1ln(55 + 3x) = 0

Ignore the factor -1.

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 '(55 + 3x)' equal to zero and attempt to solve:

Simplifying
55 + 3x = 0

Solving
55 + 3x = 0

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

Add '-55' to each side of the equation.
55 + -55 + 3x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + 3x = 0 + -55
3x = 0 + -55

Combine like terms: 0 + -55 = -55
3x = -55

Add '-3x' to each side of the equation.
3x + -3x = -55 + -3x

Combine like terms: 3x + -3x = 0
0 = -55 + -3x

Simplifying
0 = -55 + -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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