Log^19(x+2)=log^19(3x-9)

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Solution for Log^19(x+2)=log^19(3x-9) equation: 


Simplifying
Log19(x + 2) = log19(3x + -9)

Reorder the terms:
g19oL(2 + x) = log19(3x + -9)
(2 * g19oL + x * g19oL) = log19(3x + -9)
(2g19oL + g19oxL) = log19(3x + -9)

Reorder the terms:
2g19oL + g19oxL = g19lo(-9 + 3x)
2g19oL + g19oxL = (-9 * g19lo + 3x * g19lo)
2g19oL + g19oxL = (-9g19lo + 3g19lox)

Solving
2g19oL + g19oxL = -9g19lo + 3g19lox

Solving for variable 'g'.

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

Add '9g19lo' to each side of the equation.
2g19oL + 9g19lo + g19oxL = -9g19lo + 9g19lo + 3g19lox

Reorder the terms:
9g19lo + 2g19oL + g19oxL = -9g19lo + 9g19lo + 3g19lox

Combine like terms: -9g19lo + 9g19lo = 0
9g19lo + 2g19oL + g19oxL = 0 + 3g19lox
9g19lo + 2g19oL + g19oxL = 3g19lox

Add '-3g19lox' to each side of the equation.
9g19lo + 2g19oL + -3g19lox + g19oxL = 3g19lox + -3g19lox

Reorder the terms:
9g19lo + -3g19lox + 2g19oL + g19oxL = 3g19lox + -3g19lox

Combine like terms: 3g19lox + -3g19lox = 0
9g19lo + -3g19lox + 2g19oL + g19oxL = 0

Factor out the Greatest Common Factor (GCF), 'g19o'.
g19o(9l + -3lx + 2L + xL) = 0


Subproblem 1
Set the factor 'g19o' equal to zero and attempt to solve:

Simplifying
g19o = 0

Solving
g19o = 0

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

Simplifying
g19o = 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 '(9l + -3lx + 2L + xL)' equal to zero and attempt to solve:

Simplifying
9l + -3lx + 2L + xL = 0

Reorder the terms:
2L + 9l + -3lx + xL = 0

Solving
2L + 9l + -3lx + xL = 0

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

Add '-2L' to each side of the equation.
2L + 9l + -3lx + -2L + xL = 0 + -2L

Reorder the terms:
2L + -2L + 9l + -3lx + xL = 0 + -2L

Combine like terms: 2L + -2L = 0
0 + 9l + -3lx + xL = 0 + -2L
9l + -3lx + xL = 0 + -2L
Remove the zero:
9l + -3lx + xL = -2L

Add '-9l' to each side of the equation.
9l + -3lx + -9l + xL = -2L + -9l

Reorder the terms:
9l + -9l + -3lx + xL = -2L + -9l

Combine like terms: 9l + -9l = 0
0 + -3lx + xL = -2L + -9l
-3lx + xL = -2L + -9l

Add '3lx' to each side of the equation.
-3lx + 3lx + xL = -2L + -9l + 3lx

Combine like terms: -3lx + 3lx = 0
0 + xL = -2L + -9l + 3lx
xL = -2L + -9l + 3lx

Add '-1xL' to each side of the equation.
xL + -1xL = -2L + -9l + 3lx + -1xL

Combine like terms: xL + -1xL = 0
0 = -2L + -9l + 3lx + -1xL

Simplifying
0 = -2L + -9l + 3lx + -1xL

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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