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Simplifying log(3 + -2x) = log(24 + 1x) (3 * glo + -2x * glo) = log(24 + 1x) (3glo + -2glox) = log(24 + 1x) 3glo + -2glox = (24 * glo + 1x * glo) 3glo + -2glox = (24glo + 1glox) Solving 3glo + -2glox = 24glo + 1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. 3glo + -24glo + -2glox = 24glo + -24glo + 1glox Combine like terms: 3glo + -24glo = -21glo -21glo + -2glox = 24glo + -24glo + 1glox Combine like terms: 24glo + -24glo = 0 -21glo + -2glox = 0 + 1glox -21glo + -2glox = 1glox Add '-1glox' to each side of the equation. -21glo + -2glox + -1glox = 1glox + -1glox Combine like terms: -2glox + -1glox = -3glox -21glo + -3glox = 1glox + -1glox Combine like terms: 1glox + -1glox = 0 -21glo + -3glox = 0 Factor out the Greatest Common Factor (GCF), '-3glo'. -3glo(7 + x) = 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Add '-1x' to each side of the equation. x + -1x = -7 + -1x Combine like terms: x + -1x = 0 0 = -7 + -1x Simplifying 0 = -7 + -1x 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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