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Simplifying log(x + -50) + -1og = log(x + -30) + -1logx Reorder the terms: glo(-50 + x) + -1og = log(x + -30) + -1logx (-50 * glo + x * glo) + -1og = log(x + -30) + -1logx (-50glo + glox) + -1og = log(x + -30) + -1logx Reorder the terms: -50glo + glox + -1go = glo(-30 + x) + -1logx -50glo + glox + -1go = (-30 * glo + x * glo) + -1logx -50glo + glox + -1go = (-30glo + glox) + -1logx Combine like terms: glox + -1glox = 0 -50glo + glox + -1go = -30glo + 0 -50glo + glox + -1go = -30glo Solving -50glo + glox + -1go = -30glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '30glo' to each side of the equation. -50glo + glox + 30glo + -1go = -30glo + 30glo Reorder the terms: -50glo + 30glo + glox + -1go = -30glo + 30glo Combine like terms: -50glo + 30glo = -20glo -20glo + glox + -1go = -30glo + 30glo Combine like terms: -30glo + 30glo = 0 -20glo + glox + -1go = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-20l + lx + -1) = 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 '(-20l + lx + -1)' equal to zero and attempt to solve: Simplifying -20l + lx + -1 = 0 Reorder the terms: -1 + -20l + lx = 0 Solving -1 + -20l + lx = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -20l + 1 + lx = 0 + 1 Reorder the terms: -1 + 1 + -20l + lx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -20l + lx = 0 + 1 -20l + lx = 0 + 1 Combine like terms: 0 + 1 = 1 -20l + lx = 1 Add '20l' to each side of the equation. -20l + 20l + lx = 1 + 20l Combine like terms: -20l + 20l = 0 0 + lx = 1 + 20l lx = 1 + 20l Add '-1lx' to each side of the equation. lx + -1lx = 1 + 20l + -1lx Combine like terms: lx + -1lx = 0 0 = 1 + 20l + -1lx Simplifying 0 = 1 + 20l + -1lx 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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