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Simplifying log[5](x + 7) = log[5] * 12 Reorder the terms: glo * 5(7 + x) = log[5] * 12 Reorder the terms for easier multiplication: 5glo(7 + x) = log[5] * 12 (7 * 5glo + x * 5glo) = log[5] * 12 (35glo + 5glox) = log[5] * 12 Reorder the terms for easier multiplication: 35glo + 5glox = 5 * 12glo Multiply 5 * 12 35glo + 5glox = 60glo Solving 35glo + 5glox = 60glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-60glo' to each side of the equation. 35glo + -60glo + 5glox = 60glo + -60glo Combine like terms: 35glo + -60glo = -25glo -25glo + 5glox = 60glo + -60glo Combine like terms: 60glo + -60glo = 0 -25glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-5 + x) = 0 Ignore the factor 5.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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -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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