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Simplifying logb(x) + logb(x + -5) = logb(36) Multiply bglo * x bglox + logb(x + -5) = logb(36) Reorder the terms: bglox + bglo(-5 + x) = logb(36) bglox + (-5 * bglo + x * bglo) = logb(36) bglox + (-5bglo + bglox) = logb(36) Reorder the terms: -5bglo + bglox + bglox = logb(36) Combine like terms: bglox + bglox = 2bglox -5bglo + 2bglox = logb(36) Reorder the terms for easier multiplication: -5bglo + 2bglox = 36bglo Solving -5bglo + 2bglox = 36bglo Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36bglo' to each side of the equation. -5bglo + -36bglo + 2bglox = 36bglo + -36bglo Combine like terms: -5bglo + -36bglo = -41bglo -41bglo + 2bglox = 36bglo + -36bglo Combine like terms: 36bglo + -36bglo = 0 -41bglo + 2bglox = 0 Factor out the Greatest Common Factor (GCF), 'bglo'. bglo(-41 + 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 '(-41 + 2x)' equal to zero and attempt to solve: Simplifying -41 + 2x = 0 Solving -41 + 2x = 0 Move all terms containing b to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 2x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 2x = 0 + 41 2x = 0 + 41 Combine like terms: 0 + 41 = 41 2x = 41 Add '-2x' to each side of the equation. 2x + -2x = 41 + -2x Combine like terms: 2x + -2x = 0 0 = 41 + -2x Simplifying 0 = 41 + -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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