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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 = -16glo -16glo + glox + goxL = 12glo + -12glo Combine like terms: 12glo + -12glo = 0 -16glo + glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-16l + lx + xL) = 0Subproblem 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 '(-16l + lx + xL)' equal to zero and attempt to solve: Simplifying -16l + lx + xL = 0 Solving -16l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '16l' to each side of the equation. -16l + lx + 16l + xL = 0 + 16l Reorder the terms: -16l + 16l + lx + xL = 0 + 16l Combine like terms: -16l + 16l = 0 0 + lx + xL = 0 + 16l lx + xL = 0 + 16l Remove the zero: lx + xL = 16l Add '-1lx' to each side of the equation. lx + -1lx + xL = 16l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = 16l + -1lx xL = 16l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = 16l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = 16l + -1lx + -1xL Simplifying 0 = 16l + -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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