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Simplifying logb(x2 + -56) = logb(x) Reorder the terms: bglo(-56 + x2) = logb(x) (-56 * bglo + x2 * bglo) = logb(x) (-56bglo + bglox2) = logb(x) Multiply bglo * x -56bglo + bglox2 = bglox Solving -56bglo + bglox2 = bglox Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1bglox' to each side of the equation. -56bglo + -1bglox + bglox2 = bglox + -1bglox Combine like terms: bglox + -1bglox = 0 -56bglo + -1bglox + bglox2 = 0 Factor out the Greatest Common Factor (GCF), 'bglo'. bglo(-56 + -1x + x2) = 0 Factor a trinomial. bglo((-7 + -1x)(8 + -1x)) = 0Subproblem 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 '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Add 'x' to each side of the equation. -1x + x = 7 + x Combine like terms: -1x + x = 0 0 = 7 + x Simplifying 0 = 7 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + x 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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