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Simplifying 10 = 40 + -5log(x + 3) Reorder the terms: 10 = 40 + -5glo(3 + x) 10 = 40 + (3 * -5glo + x * -5glo) 10 = 40 + (-15glo + -5glox) Solving 10 = 40 + -15glo + -5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '15glo' to each side of the equation. 10 + 15glo = 40 + -15glo + 15glo + -5glox Combine like terms: -15glo + 15glo = 0 10 + 15glo = 40 + 0 + -5glox 10 + 15glo = 40 + -5glox Add '5glox' to each side of the equation. 10 + 15glo + 5glox = 40 + -5glox + 5glox Combine like terms: -5glox + 5glox = 0 10 + 15glo + 5glox = 40 + 0 10 + 15glo + 5glox = 40 Add '-10' to each side of the equation. 10 + 15glo + -10 + 5glox = 40 + -10 Reorder the terms: 10 + -10 + 15glo + 5glox = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 15glo + 5glox = 40 + -10 15glo + 5glox = 40 + -10 Combine like terms: 40 + -10 = 30 15glo + 5glox = 30 Reorder the terms: -30 + 15glo + 5glox = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 15glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + 3glo + glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + 3glo + glox)' equal to zero and attempt to solve: Simplifying -6 + 3glo + glox = 0 Solving -6 + 3glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3glo + 6 + glox = 0 + 6 Reorder the terms: -6 + 6 + 3glo + glox = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3glo + glox = 0 + 6 3glo + glox = 0 + 6 Combine like terms: 0 + 6 = 6 3glo + glox = 6 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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