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Simplifying Log(x + 6) + -1logx = logx Reorder the terms: goL(6 + x) + -1logx = logx (6 * goL + x * goL) + -1logx = logx (6goL + goxL) + -1logx = logx Reorder the terms: -1glox + 6goL + goxL = logx Solving -1glox + 6goL + goxL = glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox' to each side of the equation. -1glox + 6goL + -1glox + goxL = glox + -1glox Reorder the terms: -1glox + -1glox + 6goL + goxL = glox + -1glox Combine like terms: -1glox + -1glox = -2glox -2glox + 6goL + goxL = glox + -1glox Combine like terms: glox + -1glox = 0 -2glox + 6goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-2lx + 6L + 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 '(-2lx + 6L + xL)' equal to zero and attempt to solve: Simplifying -2lx + 6L + xL = 0 Reorder the terms: 6L + -2lx + xL = 0 Solving 6L + -2lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-6L' to each side of the equation. 6L + -2lx + -6L + xL = 0 + -6L Reorder the terms: 6L + -6L + -2lx + xL = 0 + -6L Combine like terms: 6L + -6L = 0 0 + -2lx + xL = 0 + -6L -2lx + xL = 0 + -6L Remove the zero: -2lx + xL = -6L Add '2lx' to each side of the equation. -2lx + 2lx + xL = -6L + 2lx Combine like terms: -2lx + 2lx = 0 0 + xL = -6L + 2lx xL = -6L + 2lx Add '-1xL' to each side of the equation. xL + -1xL = -6L + 2lx + -1xL Combine like terms: xL + -1xL = 0 0 = -6L + 2lx + -1xL Simplifying 0 = -6L + 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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