Log(5x+8)-2log(x+1)=1-log(2x+1)

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Solution for Log(5x+8)-2log(x+1)=1-log(2x+1) equation: 


Simplifying
Log(5x + 8) + -2log(x + 1) = 1 + -1log(2x + 1)

Reorder the terms:
goL(8 + 5x) + -2log(x + 1) = 1 + -1log(2x + 1)
(8 * goL + 5x * goL) + -2log(x + 1) = 1 + -1log(2x + 1)
(8goL + 5goxL) + -2log(x + 1) = 1 + -1log(2x + 1)

Reorder the terms:
8goL + 5goxL + -2glo(1 + x) = 1 + -1log(2x + 1)
8goL + 5goxL + (1 * -2glo + x * -2glo) = 1 + -1log(2x + 1)
8goL + 5goxL + (-2glo + -2glox) = 1 + -1log(2x + 1)

Reorder the terms:
-2glo + -2glox + 8goL + 5goxL = 1 + -1log(2x + 1)

Reorder the terms:
-2glo + -2glox + 8goL + 5goxL = 1 + -1glo(1 + 2x)
-2glo + -2glox + 8goL + 5goxL = 1 + (1 * -1glo + 2x * -1glo)
-2glo + -2glox + 8goL + 5goxL = 1 + (-1glo + -2glox)

Add '2glox' to each side of the equation.
-2glo + -2glox + 8goL + 2glox + 5goxL = 1 + -1glo + -2glox + 2glox

Reorder the terms:
-2glo + -2glox + 2glox + 8goL + 5goxL = 1 + -1glo + -2glox + 2glox

Combine like terms: -2glox + 2glox = 0
-2glo + 0 + 8goL + 5goxL = 1 + -1glo + -2glox + 2glox
-2glo + 8goL + 5goxL = 1 + -1glo + -2glox + 2glox

Combine like terms: -2glox + 2glox = 0
-2glo + 8goL + 5goxL = 1 + -1glo + 0
-2glo + 8goL + 5goxL = 1 + -1glo

Solving
-2glo + 8goL + 5goxL = 1 + -1glo

Solving for variable 'g'.

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

Add 'glo' to each side of the equation.
-2glo + 8goL + glo + 5goxL = 1 + -1glo + glo

Reorder the terms:
-2glo + glo + 8goL + 5goxL = 1 + -1glo + glo

Combine like terms: -2glo + glo = -1glo
-1glo + 8goL + 5goxL = 1 + -1glo + glo

Combine like terms: -1glo + glo = 0
-1glo + 8goL + 5goxL = 1 + 0
-1glo + 8goL + 5goxL = 1

Reorder the terms:
-1 + -1glo + 8goL + 5goxL = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -1glo + 8goL + 5goxL = 0

The solution to this equation could not be determined.

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