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Simplifying Log(x + 20) + -1logx = log(x + 9) Reorder the terms: goL(20 + x) + -1logx = log(x + 9) (20 * goL + x * goL) + -1logx = log(x + 9) (20goL + goxL) + -1logx = log(x + 9) Reorder the terms: -1glox + 20goL + goxL = log(x + 9) Reorder the terms: -1glox + 20goL + goxL = glo(9 + x) -1glox + 20goL + goxL = (9 * glo + x * glo) -1glox + 20goL + goxL = (9glo + glox) Solving -1glox + 20goL + goxL = 9glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glo' to each side of the equation. -1glox + 20goL + -9glo + goxL = 9glo + -9glo + glox Reorder the terms: -9glo + -1glox + 20goL + goxL = 9glo + -9glo + glox Combine like terms: 9glo + -9glo = 0 -9glo + -1glox + 20goL + goxL = 0 + glox -9glo + -1glox + 20goL + goxL = glox Add '-1glox' to each side of the equation. -9glo + -1glox + 20goL + -1glox + goxL = glox + -1glox Reorder the terms: -9glo + -1glox + -1glox + 20goL + goxL = glox + -1glox Combine like terms: -1glox + -1glox = -2glox -9glo + -2glox + 20goL + goxL = glox + -1glox Combine like terms: glox + -1glox = 0 -9glo + -2glox + 20goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-9l + -2lx + 20L + 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 '(-9l + -2lx + 20L + xL)' equal to zero and attempt to solve: Simplifying -9l + -2lx + 20L + xL = 0 Reorder the terms: 20L + -9l + -2lx + xL = 0 Solving 20L + -9l + -2lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-20L' to each side of the equation. 20L + -9l + -2lx + -20L + xL = 0 + -20L Reorder the terms: 20L + -20L + -9l + -2lx + xL = 0 + -20L Combine like terms: 20L + -20L = 0 0 + -9l + -2lx + xL = 0 + -20L -9l + -2lx + xL = 0 + -20L Remove the zero: -9l + -2lx + xL = -20L Add '9l' to each side of the equation. -9l + -2lx + 9l + xL = -20L + 9l Reorder the terms: -9l + 9l + -2lx + xL = -20L + 9l Combine like terms: -9l + 9l = 0 0 + -2lx + xL = -20L + 9l -2lx + xL = -20L + 9l Add '2lx' to each side of the equation. -2lx + 2lx + xL = -20L + 9l + 2lx Combine like terms: -2lx + 2lx = 0 0 + xL = -20L + 9l + 2lx xL = -20L + 9l + 2lx Add '-1xL' to each side of the equation. xL + -1xL = -20L + 9l + 2lx + -1xL Combine like terms: xL + -1xL = 0 0 = -20L + 9l + 2lx + -1xL Simplifying 0 = -20L + 9l + 2lx + -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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