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Simplifying 2logb(x) = logb(4) + logb(x + -1) Multiply bglo * x 2bglox = logb(4) + logb(x + -1) Reorder the terms for easier multiplication: 2bglox = 4bglo + logb(x + -1) Reorder the terms: 2bglox = 4bglo + bglo(-1 + x) 2bglox = 4bglo + (-1 * bglo + x * bglo) 2bglox = 4bglo + (-1bglo + bglox) Combine like terms: 4bglo + -1bglo = 3bglo 2bglox = 3bglo + bglox Solving 2bglox = 3bglo + bglox Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3bglo' to each side of the equation. -3bglo + 2bglox = 3bglo + -3bglo + bglox Combine like terms: 3bglo + -3bglo = 0 -3bglo + 2bglox = 0 + bglox -3bglo + 2bglox = bglox Add '-1bglox' to each side of the equation. -3bglo + 2bglox + -1bglox = bglox + -1bglox Combine like terms: 2bglox + -1bglox = 1bglox -3bglo + 1bglox = bglox + -1bglox Combine like terms: bglox + -1bglox = 0 -3bglo + 1bglox = 0 Factor out the Greatest Common Factor (GCF), 'bglo'. bglo(-3 + x) = 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -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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