log(x+5)-log(x-2)=1

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Solution for log(x+5)-log(x-2)=1 equation:


Simplifying
log(x + 5) + -1log(x + -2) = 1

Reorder the terms:
glo(5 + x) + -1log(x + -2) = 1
(5 * glo + x * glo) + -1log(x + -2) = 1
(5glo + glox) + -1log(x + -2) = 1

Reorder the terms:
5glo + glox + -1glo(-2 + x) = 1
5glo + glox + (-2 * -1glo + x * -1glo) = 1
5glo + glox + (2glo + -1glox) = 1

Reorder the terms:
5glo + 2glo + glox + -1glox = 1

Combine like terms: 5glo + 2glo = 7glo
7glo + glox + -1glox = 1

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

Solving
7glo = 1

Solving for variable 'g'.

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

Divide each side by '7lo'.
g = 0.1428571429l-1o-1

Simplifying
g = 0.1428571429l-1o-1

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