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Simplifying logb(8) = logb(x) + logb(x + -2) Reorder the terms for easier multiplication: 8bglo = logb(x) + logb(x + -2) Multiply bglo * x 8bglo = bglox + logb(x + -2) Reorder the terms: 8bglo = bglox + bglo(-2 + x) 8bglo = bglox + (-2 * bglo + x * bglo) 8bglo = bglox + (-2bglo + bglox) Reorder the terms: 8bglo = -2bglo + bglox + bglox Combine like terms: bglox + bglox = 2bglox 8bglo = -2bglo + 2bglox Solving 8bglo = -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. 8bglo + 2bglo = -2bglo + 2bglo + 2bglox Combine like terms: 8bglo + 2bglo = 10bglo 10bglo = -2bglo + 2bglo + 2bglox Combine like terms: -2bglo + 2bglo = 0 10bglo = 0 + 2bglox 10bglo = 2bglox Add '-2bglox' to each side of the equation. 10bglo + -2bglox = 2bglox + -2bglox Combine like terms: 2bglox + -2bglox = 0 10bglo + -2bglox = 0 Factor out the Greatest Common Factor (GCF), '2bglo'. 2bglo(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + 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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