log[6](x-7)+log[6](x-2)-log[6]x=1

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Solution for log[6](x-7)+log[6](x-2)-log[6]x=1 equation: 


Simplifying
log[6](x + -7) + log[6](x + -2) + -1log[6] * x = 1

Reorder the terms:
glo * 6(-7 + x) + log[6](x + -2) + -1log[6] * x = 1

Reorder the terms for easier multiplication:
6glo(-7 + x) + log[6](x + -2) + -1log[6] * x = 1
(-7 * 6glo + x * 6glo) + log[6](x + -2) + -1log[6] * x = 1
(-42glo + 6glox) + log[6](x + -2) + -1log[6] * x = 1

Reorder the terms:
-42glo + 6glox + glo * 6(-2 + x) + -1log[6] * x = 1

Reorder the terms for easier multiplication:
-42glo + 6glox + 6glo(-2 + x) + -1log[6] * x = 1
-42glo + 6glox + (-2 * 6glo + x * 6glo) + -1log[6] * x = 1
-42glo + 6glox + (-12glo + 6glox) + -1log[6] * x = 1

Reorder the terms for easier multiplication:
-42glo + 6glox + -12glo + 6glox + -1 * 6glo * x = 1

Multiply -1 * 6
-42glo + 6glox + -12glo + 6glox + -6glo * x = 1

Multiply glo * x
-42glo + 6glox + -12glo + 6glox + -6glox = 1

Reorder the terms:
-42glo + -12glo + 6glox + 6glox + -6glox = 1

Combine like terms: -42glo + -12glo = -54glo
-54glo + 6glox + 6glox + -6glox = 1

Combine like terms: 6glox + 6glox = 12glox
-54glo + 12glox + -6glox = 1

Combine like terms: 12glox + -6glox = 6glox
-54glo + 6glox = 1

Solving
-54glo + 6glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -54glo + 6glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -54glo + 6glox = 0

The solution to this equation could not be determined.

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