log^3(x)=log^9(3*x+18)

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Solution for log^3(x)=log^9(3*x+18) equation: 


Simplifying
log3(x) = log9(3x + 18)

Multiply g3lo * x
g3lox = log9(3x + 18)

Reorder the terms:
g3lox = g9lo(18 + 3x)
g3lox = (18 * g9lo + 3x * g9lo)
g3lox = (18g9lo + 3g9lox)

Solving
g3lox = 18g9lo + 3g9lox

Solving for variable 'g'.

Reorder the terms:
g3lox + -18g9lo + -3g9lox = 18g9lo + -18g9lo + 3g9lox + -3g9lox

Combine like terms: 18g9lo + -18g9lo = 0
g3lox + -18g9lo + -3g9lox = 0 + 3g9lox + -3g9lox
g3lox + -18g9lo + -3g9lox = 3g9lox + -3g9lox

Combine like terms: 3g9lox + -3g9lox = 0
g3lox + -18g9lo + -3g9lox = 0

Factor out the Greatest Common Factor (GCF), 'g3lo'.
g3lo(x + -18g6 + -3g6x) = 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 '(x + -18g6 + -3g6x)' equal to zero and attempt to solve:

Simplifying
x + -18g6 + -3g6x = 0

Reorder the terms:
-18g6 + -3g6x + x = 0

Solving
-18g6 + -3g6x + x = 0

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

Add '-1x' to each side of the equation.
-18g6 + -3g6x + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-18g6 + -3g6x + 0 = 0 + -1x
-18g6 + -3g6x = 0 + -1x
Remove the zero:
-18g6 + -3g6x = -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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