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Simplifying Log(x2 + -1x + 6) = log(x + -3) Reorder the terms: goL(6 + -1x + x2) = log(x + -3) (6 * goL + -1x * goL + x2 * goL) = log(x + -3) (6goL + -1goxL + gox2L) = log(x + -3) Reorder the terms: 6goL + -1goxL + gox2L = glo(-3 + x) 6goL + -1goxL + gox2L = (-3 * glo + x * glo) 6goL + -1goxL + gox2L = (-3glo + glox) Solving 6goL + -1goxL + gox2L = -3glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3glo' to each side of the equation. 6goL + -1goxL + 3glo + gox2L = -3glo + 3glo + glox Reorder the terms: 3glo + 6goL + -1goxL + gox2L = -3glo + 3glo + glox Combine like terms: -3glo + 3glo = 0 3glo + 6goL + -1goxL + gox2L = 0 + glox 3glo + 6goL + -1goxL + gox2L = glox Add '-1glox' to each side of the equation. 3glo + 6goL + -1goxL + -1glox + gox2L = glox + -1glox Reorder the terms: 3glo + -1glox + 6goL + -1goxL + gox2L = glox + -1glox Combine like terms: glox + -1glox = 0 3glo + -1glox + 6goL + -1goxL + gox2L = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(3l + -1lx + 6L + -1xL + x2L) = 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 '(3l + -1lx + 6L + -1xL + x2L)' equal to zero and attempt to solve: Simplifying 3l + -1lx + 6L + -1xL + x2L = 0 Reorder the terms: 6L + 3l + -1lx + -1xL + x2L = 0 Solving 6L + 3l + -1lx + -1xL + x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '-6L' to each side of the equation. 6L + 3l + -1lx + -1xL + -6L + x2L = 0 + -6L Reorder the terms: 6L + -6L + 3l + -1lx + -1xL + x2L = 0 + -6L Combine like terms: 6L + -6L = 0 0 + 3l + -1lx + -1xL + x2L = 0 + -6L 3l + -1lx + -1xL + x2L = 0 + -6L Remove the zero: 3l + -1lx + -1xL + x2L = -6L Add '-3l' to each side of the equation. 3l + -1lx + -1xL + -3l + x2L = -6L + -3l Reorder the terms: 3l + -3l + -1lx + -1xL + x2L = -6L + -3l Combine like terms: 3l + -3l = 0 0 + -1lx + -1xL + x2L = -6L + -3l -1lx + -1xL + x2L = -6L + -3l Add 'lx' to each side of the equation. -1lx + -1xL + lx + x2L = -6L + -3l + lx Reorder the terms: -1lx + lx + -1xL + x2L = -6L + -3l + lx Combine like terms: -1lx + lx = 0 0 + -1xL + x2L = -6L + -3l + lx -1xL + x2L = -6L + -3l + lx Add 'xL' to each side of the equation. -1xL + xL + x2L = -6L + -3l + lx + xL Combine like terms: -1xL + xL = 0 0 + x2L = -6L + -3l + lx + xL x2L = -6L + -3l + lx + xL Add '-1x2L' to each side of the equation. x2L + -1x2L = -6L + -3l + lx + xL + -1x2L Combine like terms: x2L + -1x2L = 0 0 = -6L + -3l + lx + xL + -1x2L Simplifying 0 = -6L + -3l + lx + xL + -1x2L 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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