Log*x+log*(x+4)=log*12

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Solution for Log*x+log*(x+4)=log*12 equation:


Simplifying
Log * x + log(x + 4) = log * 12

Multiply goL * x
goxL + log(x + 4) = log * 12

Reorder the terms:
goxL + glo(4 + x) = log * 12
goxL + (4 * glo + x * glo) = log * 12
goxL + (4glo + glox) = log * 12

Reorder the terms:
4glo + glox + goxL = log * 12

Reorder the terms for easier multiplication:
4glo + glox + goxL = 12glo

Solving
4glo + glox + goxL = 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.
4glo + glox + -12glo + goxL = 12glo + -12glo

Reorder the terms:
4glo + -12glo + glox + goxL = 12glo + -12glo

Combine like terms: 4glo + -12glo = -8glo
-8glo + glox + goxL = 12glo + -12glo

Combine like terms: 12glo + -12glo = 0
-8glo + glox + goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-8l + lx + xL) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-8l + lx + xL)' equal to zero and attempt to solve: Simplifying -8l + lx + xL = 0 Solving -8l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '8l' to each side of the equation. -8l + lx + 8l + xL = 0 + 8l Reorder the terms: -8l + 8l + lx + xL = 0 + 8l Combine like terms: -8l + 8l = 0 0 + lx + xL = 0 + 8l lx + xL = 0 + 8l Remove the zero: lx + xL = 8l Add '-1lx' to each side of the equation. lx + -1lx + xL = 8l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = 8l + -1lx xL = 8l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = 8l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = 8l + -1lx + -1xL Simplifying 0 = 8l + -1lx + -1xL 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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