log(x+8)=1-log(x-7)

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Solution for log(x+8)=1-log(x-7) equation:


Simplifying
log(x + 8) = 1 + -1log(x + -7)

Reorder the terms:
glo(8 + x) = 1 + -1log(x + -7)
(8 * glo + x * glo) = 1 + -1log(x + -7)
(8glo + glox) = 1 + -1log(x + -7)

Reorder the terms:
8glo + glox = 1 + -1glo(-7 + x)
8glo + glox = 1 + (-7 * -1glo + x * -1glo)
8glo + glox = 1 + (7glo + -1glox)

Solving
8glo + glox = 1 + 7glo + -1glox

Solving for variable 'g'.

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

Add '-7glo' to each side of the equation.
8glo + -7glo + glox = 1 + 7glo + -7glo + -1glox

Combine like terms: 8glo + -7glo = 1glo
1glo + glox = 1 + 7glo + -7glo + -1glox

Combine like terms: 7glo + -7glo = 0
1glo + glox = 1 + 0 + -1glox
1glo + glox = 1 + -1glox

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

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

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

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

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

The solution to this equation could not be determined.

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