log^3(x+2)=log^9(6x+4)

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Solution for log^3(x+2)=log^9(6x+4) equation: 


Simplifying
log3(x + 2) = log9(6x + 4)

Reorder the terms:
g3lo(2 + x) = log9(6x + 4)
(2 * g3lo + x * g3lo) = log9(6x + 4)
(2g3lo + g3lox) = log9(6x + 4)

Reorder the terms:
2g3lo + g3lox = g9lo(4 + 6x)
2g3lo + g3lox = (4 * g9lo + 6x * g9lo)
2g3lo + g3lox = (4g9lo + 6g9lox)

Solving
2g3lo + g3lox = 4g9lo + 6g9lox

Solving for variable 'g'.

Reorder the terms:
2g3lo + g3lox + -4g9lo + -6g9lox = 4g9lo + -4g9lo + 6g9lox + -6g9lox

Combine like terms: 4g9lo + -4g9lo = 0
2g3lo + g3lox + -4g9lo + -6g9lox = 0 + 6g9lox + -6g9lox
2g3lo + g3lox + -4g9lo + -6g9lox = 6g9lox + -6g9lox

Combine like terms: 6g9lox + -6g9lox = 0
2g3lo + g3lox + -4g9lo + -6g9lox = 0

Factor out the Greatest Common Factor (GCF), 'g3lo'.
g3lo(2 + x + -4g6 + -6g6x) = 0


Subproblem 1
Set the factor 'g3lo' equal to zero and attempt to solve:

Simplifying
g3lo = 0

Solving
g3lo = 0

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

Simplifying
g3lo = 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 '(2 + x + -4g6 + -6g6x)' equal to zero and attempt to solve:

Simplifying
2 + x + -4g6 + -6g6x = 0

Reorder the terms:
2 + -4g6 + -6g6x + x = 0

Solving
2 + -4g6 + -6g6x + x = 0

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

Add '-2' to each side of the equation.
2 + -4g6 + -6g6x + -2 + x = 0 + -2

Reorder the terms:
2 + -2 + -4g6 + -6g6x + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -4g6 + -6g6x + x = 0 + -2
-4g6 + -6g6x + x = 0 + -2

Combine like terms: 0 + -2 = -2
-4g6 + -6g6x + x = -2

Add '-1x' to each side of the equation.
-4g6 + -6g6x + x + -1x = -2 + -1x

Combine like terms: x + -1x = 0
-4g6 + -6g6x + 0 = -2 + -1x
-4g6 + -6g6x = -2 + -1x

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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