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Simplifying Log(x) + log(x + -4) = log(4x) Multiply goL * x goxL + log(x + -4) = log(4x) Reorder the terms: goxL + glo(-4 + x) = log(4x) goxL + (-4 * glo + x * glo) = log(4x) goxL + (-4glo + glox) = log(4x) Reorder the terms: -4glo + glox + goxL = log(4x) Remove parenthesis around (4x) -4glo + glox + goxL = glo * 4x Reorder the terms for easier multiplication: -4glo + glox + goxL = 4glo * x Multiply glo * x -4glo + glox + goxL = 4glox Solving -4glo + glox + goxL = 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glox' to each side of the equation. -4glo + glox + -4glox + goxL = 4glox + -4glox Combine like terms: glox + -4glox = -3glox -4glo + -3glox + goxL = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 -4glo + -3glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-4l + -3lx + 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 '(-4l + -3lx + xL)' equal to zero and attempt to solve: Simplifying -4l + -3lx + xL = 0 Solving -4l + -3lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '4l' to each side of the equation. -4l + -3lx + 4l + xL = 0 + 4l Reorder the terms: -4l + 4l + -3lx + xL = 0 + 4l Combine like terms: -4l + 4l = 0 0 + -3lx + xL = 0 + 4l -3lx + xL = 0 + 4l Remove the zero: -3lx + xL = 4l Add '3lx' to each side of the equation. -3lx + 3lx + xL = 4l + 3lx Combine like terms: -3lx + 3lx = 0 0 + xL = 4l + 3lx xL = 4l + 3lx Add '-1xL' to each side of the equation. xL + -1xL = 4l + 3lx + -1xL Combine like terms: xL + -1xL = 0 0 = 4l + 3lx + -1xL Simplifying 0 = 4l + 3lx + -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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