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

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


Simplifying
log(x2 + 9) + -1log(x + -3) = 3 + log(x + 3)

Reorder the terms:
glo(9 + x2) + -1log(x + -3) = 3 + log(x + 3)
(9 * glo + x2 * glo) + -1log(x + -3) = 3 + log(x + 3)
(9glo + glox2) + -1log(x + -3) = 3 + log(x + 3)

Reorder the terms:
9glo + glox2 + -1glo(-3 + x) = 3 + log(x + 3)
9glo + glox2 + (-3 * -1glo + x * -1glo) = 3 + log(x + 3)
9glo + glox2 + (3glo + -1glox) = 3 + log(x + 3)

Reorder the terms:
9glo + 3glo + -1glox + glox2 = 3 + log(x + 3)

Combine like terms: 9glo + 3glo = 12glo
12glo + -1glox + glox2 = 3 + log(x + 3)

Reorder the terms:
12glo + -1glox + glox2 = 3 + glo(3 + x)
12glo + -1glox + glox2 = 3 + (3 * glo + x * glo)
12glo + -1glox + glox2 = 3 + (3glo + glox)

Solving
12glo + -1glox + glox2 = 3 + 3glo + glox

Solving for variable 'g'.

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

Add '-3glo' to each side of the equation.
12glo + -1glox + -3glo + glox2 = 3 + 3glo + -3glo + glox

Reorder the terms:
12glo + -3glo + -1glox + glox2 = 3 + 3glo + -3glo + glox

Combine like terms: 12glo + -3glo = 9glo
9glo + -1glox + glox2 = 3 + 3glo + -3glo + glox

Combine like terms: 3glo + -3glo = 0
9glo + -1glox + glox2 = 3 + 0 + glox
9glo + -1glox + glox2 = 3 + glox

Add '-1glox' to each side of the equation.
9glo + -1glox + -1glox + glox2 = 3 + glox + -1glox

Combine like terms: -1glox + -1glox = -2glox
9glo + -2glox + glox2 = 3 + glox + -1glox

Combine like terms: glox + -1glox = 0
9glo + -2glox + glox2 = 3 + 0
9glo + -2glox + glox2 = 3

Reorder the terms:
-3 + 9glo + -2glox + glox2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 9glo + -2glox + glox2 = 0

The solution to this equation could not be determined.

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