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Simplifying Log(x) + log(x + -20) = log(96) Multiply goL * x goxL + log(x + -20) = log(96) Reorder the terms: goxL + glo(-20 + x) = log(96) goxL + (-20 * glo + x * glo) = log(96) goxL + (-20glo + glox) = log(96) Reorder the terms: -20glo + glox + goxL = log(96) Reorder the terms for easier multiplication: -20glo + glox + goxL = 96glo Solving -20glo + glox + goxL = 96glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-96glo' to each side of the equation. -20glo + glox + -96glo + goxL = 96glo + -96glo Reorder the terms: -20glo + -96glo + glox + goxL = 96glo + -96glo Combine like terms: -20glo + -96glo = -116glo -116glo + glox + goxL = 96glo + -96glo Combine like terms: 96glo + -96glo = 0 -116glo + glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-116l + lx + 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 '(-116l + lx + xL)' equal to zero and attempt to solve: Simplifying -116l + lx + xL = 0 Solving -116l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '116l' to each side of the equation. -116l + lx + 116l + xL = 0 + 116l Reorder the terms: -116l + 116l + lx + xL = 0 + 116l Combine like terms: -116l + 116l = 0 0 + lx + xL = 0 + 116l lx + xL = 0 + 116l Remove the zero: lx + xL = 116l Add '-1lx' to each side of the equation. lx + -1lx + xL = 116l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = 116l + -1lx xL = 116l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = 116l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = 116l + -1lx + -1xL Simplifying 0 = 116l + -1lx + -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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