log(x+6)=1-log(x+4)

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Solution for log(x+6)=1-log(x+4) equation:


Simplifying
log(x + 6) = 1 + -1log(x + 4)

Reorder the terms:
glo(6 + x) = 1 + -1log(x + 4)
(6 * glo + x * glo) = 1 + -1log(x + 4)
(6glo + glox) = 1 + -1log(x + 4)

Reorder the terms:
6glo + glox = 1 + -1glo(4 + x)
6glo + glox = 1 + (4 * -1glo + x * -1glo)
6glo + glox = 1 + (-4glo + -1glox)

Solving
6glo + glox = 1 + -4glo + -1glox

Solving for variable 'g'.

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

Add '4glo' to each side of the equation.
6glo + 4glo + glox = 1 + -4glo + 4glo + -1glox

Combine like terms: 6glo + 4glo = 10glo
10glo + glox = 1 + -4glo + 4glo + -1glox

Combine like terms: -4glo + 4glo = 0
10glo + glox = 1 + 0 + -1glox
10glo + glox = 1 + -1glox

Add 'glox' to each side of the equation.
10glo + glox + glox = 1 + -1glox + glox

Combine like terms: glox + glox = 2glox
10glo + 2glox = 1 + -1glox + glox

Combine like terms: -1glox + glox = 0
10glo + 2glox = 1 + 0
10glo + 2glox = 1

Reorder the terms:
-1 + 10glo + 2glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 10glo + 2glox = 0

The solution to this equation could not be determined.

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