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Simplifying logx = log(4x + -9) Reorder the terms: glox = glo(-9 + 4x) glox = (-9 * glo + 4x * glo) glox = (-9glo + 4glox) Solving glox = -9glo + 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '9glo' to each side of the equation. 9glo + glox = -9glo + 9glo + 4glox Combine like terms: -9glo + 9glo = 0 9glo + glox = 0 + 4glox 9glo + glox = 4glox Add '-4glox' to each side of the equation. 9glo + glox + -4glox = 4glox + -4glox Combine like terms: glox + -4glox = -3glox 9glo + -3glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 9glo + -3glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(3 + -1x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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