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Simplifying Log(x + 4) + log(x) = log(12) Reorder the terms: goL(4 + x) + log(x) = log(12) (4 * goL + x * goL) + log(x) = log(12) (4goL + goxL) + log(x) = log(12) Multiply glo * x 4goL + goxL + glox = log(12) Reorder the terms: glox + 4goL + goxL = log(12) Reorder the terms for easier multiplication: glox + 4goL + goxL = 12glo Solving glox + 4goL + 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. glox + 4goL + -12glo + goxL = 12glo + -12glo Reorder the terms: -12glo + glox + 4goL + goxL = 12glo + -12glo Combine like terms: 12glo + -12glo = 0 -12glo + glox + 4goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-12l + lx + 4L + 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 '(-12l + lx + 4L + xL)' equal to zero and attempt to solve: Simplifying -12l + lx + 4L + xL = 0 Reorder the terms: 4L + -12l + lx + xL = 0 Solving 4L + -12l + lx + 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 + -12l + lx + -4L + xL = 0 + -4L Reorder the terms: 4L + -4L + -12l + lx + xL = 0 + -4L Combine like terms: 4L + -4L = 0 0 + -12l + lx + xL = 0 + -4L -12l + lx + xL = 0 + -4L Remove the zero: -12l + lx + xL = -4L Add '12l' to each side of the equation. -12l + lx + 12l + xL = -4L + 12l Reorder the terms: -12l + 12l + lx + xL = -4L + 12l Combine like terms: -12l + 12l = 0 0 + lx + xL = -4L + 12l lx + xL = -4L + 12l Add '-1lx' to each side of the equation. lx + -1lx + xL = -4L + 12l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = -4L + 12l + -1lx xL = -4L + 12l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = -4L + 12l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = -4L + 12l + -1lx + -1xL Simplifying 0 = -4L + 12l + -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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