log(2x+5)-log(x-4)=1

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Solution for log(2x+5)-log(x-4)=1 equation:


Simplifying
log(2x + 5) + -1log(x + -4) = 1

Reorder the terms:
glo(5 + 2x) + -1log(x + -4) = 1
(5 * glo + 2x * glo) + -1log(x + -4) = 1
(5glo + 2glox) + -1log(x + -4) = 1

Reorder the terms:
5glo + 2glox + -1glo(-4 + x) = 1
5glo + 2glox + (-4 * -1glo + x * -1glo) = 1
5glo + 2glox + (4glo + -1glox) = 1

Reorder the terms:
5glo + 4glo + 2glox + -1glox = 1

Combine like terms: 5glo + 4glo = 9glo
9glo + 2glox + -1glox = 1

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

Solving
9glo + 1glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 9glo + 1glox = 1 + -1

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

The solution to this equation could not be determined.

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