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Simplifying Log(x + 4) = log(6x + -5) Reorder the terms: goL(4 + x) = log(6x + -5) (4 * goL + x * goL) = log(6x + -5) (4goL + goxL) = log(6x + -5) Reorder the terms: 4goL + goxL = glo(-5 + 6x) 4goL + goxL = (-5 * glo + 6x * glo) 4goL + goxL = (-5glo + 6glox) Solving 4goL + goxL = -5glo + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5glo' to each side of the equation. 4goL + 5glo + goxL = -5glo + 5glo + 6glox Reorder the terms: 5glo + 4goL + goxL = -5glo + 5glo + 6glox Combine like terms: -5glo + 5glo = 0 5glo + 4goL + goxL = 0 + 6glox 5glo + 4goL + goxL = 6glox Add '-6glox' to each side of the equation. 5glo + 4goL + -6glox + goxL = 6glox + -6glox Reorder the terms: 5glo + -6glox + 4goL + goxL = 6glox + -6glox Combine like terms: 6glox + -6glox = 0 5glo + -6glox + 4goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(5l + -6lx + 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 '(5l + -6lx + 4L + xL)' equal to zero and attempt to solve: Simplifying 5l + -6lx + 4L + xL = 0 Reorder the terms: 4L + 5l + -6lx + xL = 0 Solving 4L + 5l + -6lx + 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 + 5l + -6lx + -4L + xL = 0 + -4L Reorder the terms: 4L + -4L + 5l + -6lx + xL = 0 + -4L Combine like terms: 4L + -4L = 0 0 + 5l + -6lx + xL = 0 + -4L 5l + -6lx + xL = 0 + -4L Remove the zero: 5l + -6lx + xL = -4L Add '-5l' to each side of the equation. 5l + -6lx + -5l + xL = -4L + -5l Reorder the terms: 5l + -5l + -6lx + xL = -4L + -5l Combine like terms: 5l + -5l = 0 0 + -6lx + xL = -4L + -5l -6lx + xL = -4L + -5l Add '6lx' to each side of the equation. -6lx + 6lx + xL = -4L + -5l + 6lx Combine like terms: -6lx + 6lx = 0 0 + xL = -4L + -5l + 6lx xL = -4L + -5l + 6lx Add '-1xL' to each side of the equation. xL + -1xL = -4L + -5l + 6lx + -1xL Combine like terms: xL + -1xL = 0 0 = -4L + -5l + 6lx + -1xL Simplifying 0 = -4L + -5l + 6lx + -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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