Log(x-5)=-3+log(x+6)

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Solution for Log(x-5)=-3+log(x+6) equation:


Simplifying
Log(x + -5) = -3 + log(x + 6)

Reorder the terms:
goL(-5 + x) = -3 + log(x + 6)
(-5 * goL + x * goL) = -3 + log(x + 6)
(-5goL + goxL) = -3 + log(x + 6)

Reorder the terms:
-5goL + goxL = -3 + glo(6 + x)
-5goL + goxL = -3 + (6 * glo + x * glo)
-5goL + goxL = -3 + (6glo + glox)

Solving
-5goL + goxL = -3 + 6glo + glox

Solving for variable 'g'.

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

Add '-6glo' to each side of the equation.
-5goL + -6glo + goxL = -3 + 6glo + -6glo + glox

Reorder the terms:
-6glo + -5goL + goxL = -3 + 6glo + -6glo + glox

Combine like terms: 6glo + -6glo = 0
-6glo + -5goL + goxL = -3 + 0 + glox
-6glo + -5goL + goxL = -3 + glox

Add '-1glox' to each side of the equation.
-6glo + -5goL + -1glox + goxL = -3 + glox + -1glox

Reorder the terms:
-6glo + -1glox + -5goL + goxL = -3 + glox + -1glox

Combine like terms: glox + -1glox = 0
-6glo + -1glox + -5goL + goxL = -3 + 0
-6glo + -1glox + -5goL + goxL = -3

Reorder the terms:
3 + -6glo + -1glox + -5goL + goxL = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -6glo + -1glox + -5goL + goxL = 0

The solution to this equation could not be determined.

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