6ln(x+6)-7ln(x)=

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Solution for 6ln(x+6)-7ln(x)= equation: 


Simplifying
6ln(x + 6) + -7ln(x) = 0

Reorder the terms:
6ln(6 + x) + -7ln(x) = 0
(6 * 6ln + x * 6ln) + -7ln(x) = 0
(36ln + 6lnx) + -7ln(x) = 0

Multiply ln * x
36ln + 6lnx + -7lnx = 0

Combine like terms: 6lnx + -7lnx = -1lnx
36ln + -1lnx = 0

Solving
36ln + -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(36 + -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 '(36 + -1x)' equal to zero and attempt to solve:

Simplifying
36 + -1x = 0

Solving
36 + -1x = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 0 + -36
-1x = 0 + -36

Combine like terms: 0 + -36 = -36
-1x = -36

Add 'x' to each side of the equation.
-1x + x = -36 + x

Combine like terms: -1x + x = 0
0 = -36 + x

Simplifying
0 = -36 + 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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