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Simplifying log[b] = log[b] * x + log[b](x + -2) Multiply glo * b bglo = log[b] * x + log[b](x + -2) Multiply glo * b bglo = bglo * x + log[b](x + -2) Multiply bglo * x bglo = bglox + log[b](x + -2) Reorder the terms: bglo = bglox + glo * b(-2 + x) Multiply glo * b bglo = bglox + bglo(-2 + x) bglo = bglox + (-2 * bglo + x * bglo) bglo = bglox + (-2bglo + bglox) Reorder the terms: bglo = -2bglo + bglox + bglox Combine like terms: bglox + bglox = 2bglox bglo = -2bglo + 2bglox Solving bglo = -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. bglo + 2bglo = -2bglo + 2bglo + 2bglox Combine like terms: bglo + 2bglo = 3bglo 3bglo = -2bglo + 2bglo + 2bglox Combine like terms: -2bglo + 2bglo = 0 3bglo = 0 + 2bglox 3bglo = 2bglox Add '-2bglox' to each side of the equation. 3bglo + -2bglox = 2bglox + -2bglox Combine like terms: 2bglox + -2bglox = 0 3bglo + -2bglox = 0 Factor out the Greatest Common Factor (GCF), 'bglo'. bglo(3 + -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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Add '2x' to each side of the equation. -2x + 2x = -3 + 2x Combine like terms: -2x + 2x = 0 0 = -3 + 2x Simplifying 0 = -3 + 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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