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