2log^9(x)=log^98+log^9(x-2)

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Solution for 2log^9(x)=log^98+log^9(x-2) equation: 


Simplifying
2log9(x) = log98 + log9(x + -2)

Multiply g9lo * x
2g9lox = log98 + log9(x + -2)

Reorder the terms:
2g9lox = g98lo + g9lo(-2 + x)
2g9lox = g98lo + (-2 * g9lo + x * g9lo)
2g9lox = g98lo + (-2g9lo + g9lox)

Reorder the terms:
2g9lox = -2g9lo + g9lox + g98lo

Solving
2g9lox = -2g9lo + g9lox + g98lo

Solving for variable 'g'.

Reorder the terms:
2g9lo + 2g9lox + -1g9lox + -1g98lo = -2g9lo + g9lox + g98lo + 2g9lo + -1g9lox + -1g98lo

Combine like terms: 2g9lox + -1g9lox = 1g9lox
2g9lo + 1g9lox + -1g98lo = -2g9lo + g9lox + g98lo + 2g9lo + -1g9lox + -1g98lo

Reorder the terms:
2g9lo + 1g9lox + -1g98lo = -2g9lo + 2g9lo + g9lox + -1g9lox + g98lo + -1g98lo

Combine like terms: -2g9lo + 2g9lo = 0
2g9lo + 1g9lox + -1g98lo = 0 + g9lox + -1g9lox + g98lo + -1g98lo
2g9lo + 1g9lox + -1g98lo = g9lox + -1g9lox + g98lo + -1g98lo

Combine like terms: g9lox + -1g9lox = 0
2g9lo + 1g9lox + -1g98lo = 0 + g98lo + -1g98lo
2g9lo + 1g9lox + -1g98lo = g98lo + -1g98lo

Combine like terms: g98lo + -1g98lo = 0
2g9lo + 1g9lox + -1g98lo = 0

Factor out the Greatest Common Factor (GCF), 'g9lo'.
g9lo(2 + x + -1g89) = 0


Subproblem 1
Set the factor 'g9lo' equal to zero and attempt to solve:

Simplifying
g9lo = 0

Solving
g9lo = 0

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

Simplifying
g9lo = 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 + -1g89)' equal to zero and attempt to solve:

Simplifying
2 + x + -1g89 = 0

Reorder the terms:
2 + -1g89 + x = 0

Solving
2 + -1g89 + 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 + -1g89 + -2 + x = 0 + -2

Reorder the terms:
2 + -2 + -1g89 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1g89 + x = 0 + -2
-1g89 + x = 0 + -2

Combine like terms: 0 + -2 = -2
-1g89 + x = -2

Add '-1x' to each side of the equation.
-1g89 + x + -1x = -2 + -1x

Combine like terms: x + -1x = 0
-1g89 + 0 = -2 + -1x
-1g89 = -2 + -1x

Divide each side by '-1'.
g89 = 2 + x

Simplifying
g89 = 2 + 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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