6ln(x+6)-8lnx=

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Solution for 6ln(x+6)-8lnx= equation: 


Simplifying
6ln(x + 6) + -8lnx = 0

Reorder the terms:
6ln(6 + x) + -8lnx = 0
(6 * 6ln + x * 6ln) + -8lnx = 0
(36ln + 6lnx) + -8lnx = 0

Combine like terms: 6lnx + -8lnx = -2lnx
36ln + -2lnx = 0

Solving
36ln + -2lnx = 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), '2ln'.
2ln(18 + -1x) = 0

Ignore the factor 2.

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 '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Add 'x' to each side of the equation.
-1x + x = -18 + x

Combine like terms: -1x + x = 0
0 = -18 + x

Simplifying
0 = -18 + 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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