6ln(x+9)-8lnx=log

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Solution for 6ln(x+9)-8lnx=log equation: 


Simplifying
6ln(x + 9) + -8lnx = log

Reorder the terms:
6ln(9 + x) + -8lnx = log
(9 * 6ln + x * 6ln) + -8lnx = log
(54ln + 6lnx) + -8lnx = log

Combine like terms: 6lnx + -8lnx = -2lnx
54ln + -2lnx = log

Solving
54ln + -2lnx = glo

Solving for variable 'l'.

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

Add '-1glo' to each side of the equation.
54ln + -1glo + -2lnx = glo + -1glo

Reorder the terms:
-1glo + 54ln + -2lnx = glo + -1glo

Combine like terms: glo + -1glo = 0
-1glo + 54ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), 'l'.
l(-1go + 54n + -2nx) = 0


Subproblem 1
Set the factor 'l' equal to zero and attempt to solve:

Simplifying
l = 0

Solving
l = 0

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

Simplifying
l = 0

Subproblem 2
Set the factor '(-1go + 54n + -2nx)' equal to zero and attempt to solve:

Simplifying
-1go + 54n + -2nx = 0

Solving
-1go + 54n + -2nx = 0

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

Add 'go' to each side of the equation.
-1go + 54n + go + -2nx = 0 + go

Reorder the terms:
-1go + go + 54n + -2nx = 0 + go

Combine like terms: -1go + go = 0
0 + 54n + -2nx = 0 + go
54n + -2nx = 0 + go
Remove the zero:
54n + -2nx = go

Add '-54n' to each side of the equation.
54n + -54n + -2nx = go + -54n

Combine like terms: 54n + -54n = 0
0 + -2nx = go + -54n
-2nx = go + -54n

Add '2nx' to each side of the equation.
-2nx + 2nx = go + -54n + 2nx

Combine like terms: -2nx + 2nx = 0
0 = go + -54n + 2nx

Simplifying
0 = go + -54n + 2nx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
l = {0}

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