log(x+6)-2*log(x-3)=1

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Solution for log(x+6)-2*log(x-3)=1 equation:


Simplifying
log(x + 6) + -2log(x + -3) = 1

Reorder the terms:
glo(6 + x) + -2log(x + -3) = 1
(6 * glo + x * glo) + -2log(x + -3) = 1
(6glo + glox) + -2log(x + -3) = 1

Reorder the terms:
6glo + glox + -2glo(-3 + x) = 1
6glo + glox + (-3 * -2glo + x * -2glo) = 1
6glo + glox + (6glo + -2glox) = 1

Reorder the terms:
6glo + 6glo + glox + -2glox = 1

Combine like terms: 6glo + 6glo = 12glo
12glo + glox + -2glox = 1

Combine like terms: glox + -2glox = -1glox
12glo + -1glox = 1

Solving
12glo + -1glox = 1

Solving for variable 'g'.

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

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

Combine like terms: 1 + -1 = 0
-1 + 12glo + -1glox = 0

The solution to this equation could not be determined.

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