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Simplifying 4log(5)(x + 3) + 2 = 14 Reorder the terms: 4glo * 5(3 + x) + 2 = 14 Reorder the terms for easier multiplication: 4 * 5glo(3 + x) + 2 = 14 Multiply 4 * 5 20glo(3 + x) + 2 = 14 (3 * 20glo + x * 20glo) + 2 = 14 (60glo + 20glox) + 2 = 14 Reorder the terms: 2 + 60glo + 20glox = 14 Solving 2 + 60glo + 20glox = 14 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 60glo + -2 + 20glox = 14 + -2 Reorder the terms: 2 + -2 + 60glo + 20glox = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 60glo + 20glox = 14 + -2 60glo + 20glox = 14 + -2 Combine like terms: 14 + -2 = 12 60glo + 20glox = 12 Reorder the terms: -12 + 60glo + 20glox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 60glo + 20glox = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + 15glo + 5glox) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + 15glo + 5glox)' equal to zero and attempt to solve: Simplifying -3 + 15glo + 5glox = 0 Solving -3 + 15glo + 5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 15glo + 3 + 5glox = 0 + 3 Reorder the terms: -3 + 3 + 15glo + 5glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 15glo + 5glox = 0 + 3 15glo + 5glox = 0 + 3 Combine like terms: 0 + 3 = 3 15glo + 5glox = 3 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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