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Simplifying logb(x + 2) + logb(x) = logb(24) Reorder the terms: bglo(2 + x) + logb(x) = logb(24) (2 * bglo + x * bglo) + logb(x) = logb(24) (2bglo + bglox) + logb(x) = logb(24) Multiply bglo * x 2bglo + bglox + bglox = logb(24) Combine like terms: bglox + bglox = 2bglox 2bglo + 2bglox = logb(24) Reorder the terms for easier multiplication: 2bglo + 2bglox = 24bglo Solving 2bglo + 2bglox = 24bglo Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24bglo' to each side of the equation. 2bglo + -24bglo + 2bglox = 24bglo + -24bglo Combine like terms: 2bglo + -24bglo = -22bglo -22bglo + 2bglox = 24bglo + -24bglo Combine like terms: 24bglo + -24bglo = 0 -22bglo + 2bglox = 0 Factor out the Greatest Common Factor (GCF), '2bglo'. 2bglo(-11 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'bglo' equal to zero and attempt to solve: Simplifying bglo = 0 Solving bglo = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bglo = 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 '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Add '-1x' to each side of the equation. x + -1x = 11 + -1x Combine like terms: x + -1x = 0 0 = 11 + -1x Simplifying 0 = 11 + -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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