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Simplifying Logx + log(x + -21) = log(72) Reorder the terms: goxL + glo(-21 + x) = log(72) goxL + (-21 * glo + x * glo) = log(72) goxL + (-21glo + glox) = log(72) Reorder the terms: -21glo + glox + goxL = log(72) Reorder the terms for easier multiplication: -21glo + glox + goxL = 72glo Solving -21glo + glox + goxL = 72glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-72glo' to each side of the equation. -21glo + glox + -72glo + goxL = 72glo + -72glo Reorder the terms: -21glo + -72glo + glox + goxL = 72glo + -72glo Combine like terms: -21glo + -72glo = -93glo -93glo + glox + goxL = 72glo + -72glo Combine like terms: 72glo + -72glo = 0 -93glo + glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-93l + 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 '(-93l + lx + xL)' equal to zero and attempt to solve: Simplifying -93l + lx + xL = 0 Solving -93l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '93l' to each side of the equation. -93l + lx + 93l + xL = 0 + 93l Reorder the terms: -93l + 93l + lx + xL = 0 + 93l Combine like terms: -93l + 93l = 0 0 + lx + xL = 0 + 93l lx + xL = 0 + 93l Remove the zero: lx + xL = 93l Add '-1lx' to each side of the equation. lx + -1lx + xL = 93l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = 93l + -1lx xL = 93l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = 93l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = 93l + -1lx + -1xL Simplifying 0 = 93l + -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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