log(2x+1)-3-log(x+5)=0

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Solution for log(2x+1)-3-log(x+5)=0 equation:


Simplifying
log(2x + 1) + -3 + -1log(x + 5) = 0

Reorder the terms:
glo(1 + 2x) + -3 + -1log(x + 5) = 0
(1 * glo + 2x * glo) + -3 + -1log(x + 5) = 0
(1glo + 2glox) + -3 + -1log(x + 5) = 0

Reorder the terms:
1glo + 2glox + -3 + -1glo(5 + x) = 0
1glo + 2glox + -3 + (5 * -1glo + x * -1glo) = 0
1glo + 2glox + -3 + (-5glo + -1glox) = 0

Reorder the terms:
-3 + 1glo + -5glo + 2glox + -1glox = 0

Combine like terms: 1glo + -5glo = -4glo
-3 + -4glo + 2glox + -1glox = 0

Combine like terms: 2glox + -1glox = 1glox
-3 + -4glo + 1glox = 0

Solving
-3 + -4glo + 1glox = 0

Solving for variable 'g'.

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

Add '3' to each side of the equation.
-3 + -4glo + 3 + 1glox = 0 + 3

Reorder the terms:
-3 + 3 + -4glo + 1glox = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4glo + 1glox = 0 + 3
-4glo + 1glox = 0 + 3

Combine like terms: 0 + 3 = 3
-4glo + 1glox = 3

Reorder the terms:
-3 + -4glo + 1glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -4glo + 1glox = 0

The solution to this equation could not be determined.

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