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Simplifying 5log(x + 12) + -10 = 20 Reorder the terms: 5glo(12 + x) + -10 = 20 (12 * 5glo + x * 5glo) + -10 = 20 (60glo + 5glox) + -10 = 20 Reorder the terms: -10 + 60glo + 5glox = 20 Solving -10 + 60glo + 5glox = 20 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 60glo + 10 + 5glox = 20 + 10 Reorder the terms: -10 + 10 + 60glo + 5glox = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 60glo + 5glox = 20 + 10 60glo + 5glox = 20 + 10 Combine like terms: 20 + 10 = 30 60glo + 5glox = 30 Reorder the terms: -30 + 60glo + 5glox = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 60glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + 12glo + glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + 12glo + glox)' equal to zero and attempt to solve: Simplifying -6 + 12glo + glox = 0 Solving -6 + 12glo + 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 + 12glo + 6 + glox = 0 + 6 Reorder the terms: -6 + 6 + 12glo + glox = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12glo + glox = 0 + 6 12glo + glox = 0 + 6 Combine like terms: 0 + 6 = 6 12glo + 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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