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Simplifying 2log(6)(x + 5) = log(6) * 36 + 2 Reorder the terms: 2glo * 6(5 + x) = log(6) * 36 + 2 Reorder the terms for easier multiplication: 2 * 6glo(5 + x) = log(6) * 36 + 2 Multiply 2 * 6 12glo(5 + x) = log(6) * 36 + 2 (5 * 12glo + x * 12glo) = log(6) * 36 + 2 (60glo + 12glox) = log(6) * 36 + 2 Reorder the terms for easier multiplication: 60glo + 12glox = 6 * 36glo + 2 Multiply 6 * 36 60glo + 12glox = 216glo + 2 Reorder the terms: 60glo + 12glox = 2 + 216glo Solving 60glo + 12glox = 2 + 216glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-216glo' to each side of the equation. 60glo + -216glo + 12glox = 2 + 216glo + -216glo Combine like terms: 60glo + -216glo = -156glo -156glo + 12glox = 2 + 216glo + -216glo Combine like terms: 216glo + -216glo = 0 -156glo + 12glox = 2 + 0 -156glo + 12glox = 2 Reorder the terms: -2 + -156glo + 12glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -156glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -78glo + 6glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -78glo + 6glox)' equal to zero and attempt to solve: Simplifying -1 + -78glo + 6glox = 0 Solving -1 + -78glo + 6glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -78glo + 1 + 6glox = 0 + 1 Reorder the terms: -1 + 1 + -78glo + 6glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -78glo + 6glox = 0 + 1 -78glo + 6glox = 0 + 1 Combine like terms: 0 + 1 = 1 -78glo + 6glox = 1 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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