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Simplifying logb(x) + logb(x + -9) = logb(10) Multiply bglo * x bglox + logb(x + -9) = logb(10) Reorder the terms: bglox + bglo(-9 + x) = logb(10) bglox + (-9 * bglo + x * bglo) = logb(10) bglox + (-9bglo + bglox) = logb(10) Reorder the terms: -9bglo + bglox + bglox = logb(10) Combine like terms: bglox + bglox = 2bglox -9bglo + 2bglox = logb(10) Reorder the terms for easier multiplication: -9bglo + 2bglox = 10bglo Solving -9bglo + 2bglox = 10bglo Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10bglo' to each side of the equation. -9bglo + -10bglo + 2bglox = 10bglo + -10bglo Combine like terms: -9bglo + -10bglo = -19bglo -19bglo + 2bglox = 10bglo + -10bglo Combine like terms: 10bglo + -10bglo = 0 -19bglo + 2bglox = 0 Factor out the Greatest Common Factor (GCF), 'bglo'. bglo(-19 + 2x) = 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 '(-19 + 2x)' equal to zero and attempt to solve: Simplifying -19 + 2x = 0 Solving -19 + 2x = 0 Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 2x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 0 + 19 2x = 0 + 19 Combine like terms: 0 + 19 = 19 2x = 19 Add '-2x' to each side of the equation. 2x + -2x = 19 + -2x Combine like terms: 2x + -2x = 0 0 = 19 + -2x Simplifying 0 = 19 + -2x 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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