log[3](x-2)-2=0

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Solution for log[3](x-2)-2=0 equation:


Simplifying
log[3](x + -2) + -2 = 0

Reorder the terms:
glo * 3(-2 + x) + -2 = 0

Reorder the terms for easier multiplication:
3glo(-2 + x) + -2 = 0
(-2 * 3glo + x * 3glo) + -2 = 0
(-6glo + 3glox) + -2 = 0

Reorder the terms:
-2 + -6glo + 3glox = 0

Solving
-2 + -6glo + 3glox = 0

Solving for variable 'g'.

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

Add '2' to each side of the equation.
-2 + -6glo + 2 + 3glox = 0 + 2

Reorder the terms:
-2 + 2 + -6glo + 3glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -6glo + 3glox = 0 + 2
-6glo + 3glox = 0 + 2

Combine like terms: 0 + 2 = 2
-6glo + 3glox = 2

Reorder the terms:
-2 + -6glo + 3glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -6glo + 3glox = 0

The solution to this equation could not be determined.

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