log*x+log*(x+1)=log*12

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Solution for log*x+log*(x+1)=log*12 equation:


Simplifying
log * x + log(x + 1) = log * 12

Multiply glo * x
glox + log(x + 1) = log * 12

Reorder the terms:
glox + glo(1 + x) = log * 12
glox + (1 * glo + x * glo) = log * 12
glox + (1glo + glox) = log * 12

Reorder the terms:
1glo + glox + glox = log * 12

Combine like terms: glox + glox = 2glox
1glo + 2glox = log * 12

Reorder the terms for easier multiplication:
1glo + 2glox = 12glo

Solving
1glo + 2glox = 12glo

Solving for variable 'g'.

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

Add '-12glo' to each side of the equation.
1glo + -12glo + 2glox = 12glo + -12glo

Combine like terms: 1glo + -12glo = -11glo
-11glo + 2glox = 12glo + -12glo

Combine like terms: 12glo + -12glo = 0
-11glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-11 + 2x) = 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 '(-11 + 2x)' equal to zero and attempt to solve: Simplifying -11 + 2x = 0 Solving -11 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 0 + 11 2x = 0 + 11 Combine like terms: 0 + 11 = 11 2x = 11 Add '-2x' to each side of the equation. 2x + -2x = 11 + -2x Combine like terms: 2x + -2x = 0 0 = 11 + -2x Simplifying 0 = 11 + -2x 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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