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Simplifying Log[7](x + -1) = log[7](x + 1) Reorder the terms: goL * 7(-1 + x) = log[7](x + 1) Reorder the terms for easier multiplication: 7goL(-1 + x) = log[7](x + 1) (-1 * 7goL + x * 7goL) = log[7](x + 1) (-7goL + 7goxL) = log[7](x + 1) Reorder the terms: -7goL + 7goxL = glo * 7(1 + x) Reorder the terms for easier multiplication: -7goL + 7goxL = 7glo(1 + x) -7goL + 7goxL = (1 * 7glo + x * 7glo) -7goL + 7goxL = (7glo + 7glox) Solving -7goL + 7goxL = 7glo + 7glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7glo' to each side of the equation. -7goL + -7glo + 7goxL = 7glo + -7glo + 7glox Reorder the terms: -7glo + -7goL + 7goxL = 7glo + -7glo + 7glox Combine like terms: 7glo + -7glo = 0 -7glo + -7goL + 7goxL = 0 + 7glox -7glo + -7goL + 7goxL = 7glox Add '-7glox' to each side of the equation. -7glo + -7goL + -7glox + 7goxL = 7glox + -7glox Reorder the terms: -7glo + -7glox + -7goL + 7goxL = 7glox + -7glox Combine like terms: 7glox + -7glox = 0 -7glo + -7glox + -7goL + 7goxL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(-1l + -1lx + -1L + xL) = 0 Ignore the factor 7.Subproblem 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 + -1L + xL)' equal to zero and attempt to solve: Simplifying -1l + -1lx + -1L + xL = 0 Reorder the terms: -1L + -1l + -1lx + xL = 0 Solving -1L + -1l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add 'L' to each side of the equation. -1L + -1l + -1lx + L + xL = 0 + L Reorder the terms: -1L + L + -1l + -1lx + xL = 0 + L Combine like terms: -1L + L = 0 0 + -1l + -1lx + xL = 0 + L -1l + -1lx + xL = 0 + L Remove the zero: -1l + -1lx + xL = L Add 'l' to each side of the equation. -1l + -1lx + l + xL = L + l Reorder the terms: -1l + l + -1lx + xL = L + l Combine like terms: -1l + l = 0 0 + -1lx + xL = L + l -1lx + xL = L + l Add 'lx' to each side of the equation. -1lx + lx + xL = L + l + lx Combine like terms: -1lx + lx = 0 0 + xL = L + l + lx xL = L + l + lx Add '-1xL' to each side of the equation. xL + -1xL = L + l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = L + l + lx + -1xL Simplifying 0 = L + l + lx + -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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