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Simplifying Log(8x + 4) = log(x + 1) Reorder the terms: goL(4 + 8x) = log(x + 1) (4 * goL + 8x * goL) = log(x + 1) (4goL + 8goxL) = log(x + 1) Reorder the terms: 4goL + 8goxL = glo(1 + x) 4goL + 8goxL = (1 * glo + x * glo) 4goL + 8goxL = (1glo + glox) Solving 4goL + 8goxL = 1glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glo' to each side of the equation. 4goL + -1glo + 8goxL = 1glo + -1glo + glox Reorder the terms: -1glo + 4goL + 8goxL = 1glo + -1glo + glox Combine like terms: 1glo + -1glo = 0 -1glo + 4goL + 8goxL = 0 + glox -1glo + 4goL + 8goxL = glox Add '-1glox' to each side of the equation. -1glo + 4goL + -1glox + 8goxL = glox + -1glox Reorder the terms: -1glo + -1glox + 4goL + 8goxL = glox + -1glox Combine like terms: glox + -1glox = 0 -1glo + -1glox + 4goL + 8goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-1l + -1lx + 4L + 8xL) = 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 '(-1l + -1lx + 4L + 8xL)' equal to zero and attempt to solve: Simplifying -1l + -1lx + 4L + 8xL = 0 Reorder the terms: 4L + -1l + -1lx + 8xL = 0 Solving 4L + -1l + -1lx + 8xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-4L' to each side of the equation. 4L + -1l + -1lx + -4L + 8xL = 0 + -4L Reorder the terms: 4L + -4L + -1l + -1lx + 8xL = 0 + -4L Combine like terms: 4L + -4L = 0 0 + -1l + -1lx + 8xL = 0 + -4L -1l + -1lx + 8xL = 0 + -4L Remove the zero: -1l + -1lx + 8xL = -4L Add 'l' to each side of the equation. -1l + -1lx + l + 8xL = -4L + l Reorder the terms: -1l + l + -1lx + 8xL = -4L + l Combine like terms: -1l + l = 0 0 + -1lx + 8xL = -4L + l -1lx + 8xL = -4L + l Add 'lx' to each side of the equation. -1lx + lx + 8xL = -4L + l + lx Combine like terms: -1lx + lx = 0 0 + 8xL = -4L + l + lx 8xL = -4L + l + lx Add '-8xL' to each side of the equation. 8xL + -8xL = -4L + l + lx + -8xL Combine like terms: 8xL + -8xL = 0 0 = -4L + l + lx + -8xL Simplifying 0 = -4L + l + lx + -8xL 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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