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

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


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

Reorder the terms for easier multiplication:
4glo + -2log(x + 1) = log(x)

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

Combine like terms: 4glo + -2glo = 2glo
2glo + -2glox = log(x)

Multiply glo * x
2glo + -2glox = glox

Solving
2glo + -2glox = glox

Solving for variable 'g'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(2 + -3x) = 0


Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Add '3x' to each side of the equation.
-3x + 3x = -2 + 3x

Combine like terms: -3x + 3x = 0
0 = -2 + 3x

Simplifying
0 = -2 + 3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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