log(x-3)-log(x-12)=-1

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Solution for log(x-3)-log(x-12)=-1 equation:


Simplifying
log(x + -3) + -1log(x + -12) = -1

Reorder the terms:
glo(-3 + x) + -1log(x + -12) = -1
(-3 * glo + x * glo) + -1log(x + -12) = -1
(-3glo + glox) + -1log(x + -12) = -1

Reorder the terms:
-3glo + glox + -1glo(-12 + x) = -1
-3glo + glox + (-12 * -1glo + x * -1glo) = -1
-3glo + glox + (12glo + -1glox) = -1

Reorder the terms:
-3glo + 12glo + glox + -1glox = -1

Combine like terms: -3glo + 12glo = 9glo
9glo + glox + -1glox = -1

Combine like terms: glox + -1glox = 0
9glo + 0 = -1
9glo = -1

Solving
9glo = -1

Solving for variable 'g'.

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

Divide each side by '9lo'.
g = -0.1111111111l-1o-1

Simplifying
g = -0.1111111111l-1o-1

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