log(x)-log(x+1)=log(x+3)-log(x+5)

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Solution for log(x)-log(x+1)=log(x+3)-log(x+5) equation:


Simplifying
log(x) + -1log(x + 1) = log(x + 3) + -1log(x + 5)

Multiply glo * x
glox + -1log(x + 1) = log(x + 3) + -1log(x + 5)

Reorder the terms:
glox + -1glo(1 + x) = log(x + 3) + -1log(x + 5)
glox + (1 * -1glo + x * -1glo) = log(x + 3) + -1log(x + 5)
glox + (-1glo + -1glox) = log(x + 3) + -1log(x + 5)

Reorder the terms:
-1glo + glox + -1glox = log(x + 3) + -1log(x + 5)

Combine like terms: glox + -1glox = 0
-1glo + 0 = log(x + 3) + -1log(x + 5)
-1glo = log(x + 3) + -1log(x + 5)

Reorder the terms:
-1glo = glo(3 + x) + -1log(x + 5)
-1glo = (3 * glo + x * glo) + -1log(x + 5)
-1glo = (3glo + glox) + -1log(x + 5)

Reorder the terms:
-1glo = 3glo + glox + -1glo(5 + x)
-1glo = 3glo + glox + (5 * -1glo + x * -1glo)
-1glo = 3glo + glox + (-5glo + -1glox)

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

Combine like terms: 3glo + -5glo = -2glo
-1glo = -2glo + glox + -1glox

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

Solving
-1glo = -2glo

Solving for variable 'g'.

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

Add '2glo' to each side of the equation.
-1glo + 2glo = -2glo + 2glo

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

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

Divide each side by '1'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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