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Simplifying Logb(x) = 2logb(x + -1) Multiply bgoL * x bgoxL = 2logb(x + -1) Reorder the terms: bgoxL = 2bglo(-1 + x) bgoxL = (-1 * 2bglo + x * 2bglo) bgoxL = (-2bglo + 2bglox) Solving bgoxL = -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. 2bglo + bgoxL = -2bglo + 2bglo + 2bglox Combine like terms: -2bglo + 2bglo = 0 2bglo + bgoxL = 0 + 2bglox 2bglo + bgoxL = 2bglox Add '-2bglox' to each side of the equation. 2bglo + -2bglox + bgoxL = 2bglox + -2bglox Combine like terms: 2bglox + -2bglox = 0 2bglo + -2bglox + bgoxL = 0 Factor out the Greatest Common Factor (GCF), 'bgo'. bgo(2l + -2lx + xL) = 0Subproblem 1
Set the factor 'bgo' equal to zero and attempt to solve: Simplifying bgo = 0 Solving bgo = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bgo = 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 '(2l + -2lx + xL)' equal to zero and attempt to solve: Simplifying 2l + -2lx + xL = 0 Solving 2l + -2lx + xL = 0 Move all terms containing b to the left, all other terms to the right. Add '-2l' to each side of the equation. 2l + -2lx + -2l + xL = 0 + -2l Reorder the terms: 2l + -2l + -2lx + xL = 0 + -2l Combine like terms: 2l + -2l = 0 0 + -2lx + xL = 0 + -2l -2lx + xL = 0 + -2l Remove the zero: -2lx + xL = -2l Add '2lx' to each side of the equation. -2lx + 2lx + xL = -2l + 2lx Combine like terms: -2lx + 2lx = 0 0 + xL = -2l + 2lx xL = -2l + 2lx Add '-1xL' to each side of the equation. xL + -1xL = -2l + 2lx + -1xL Combine like terms: xL + -1xL = 0 0 = -2l + 2lx + -1xL Simplifying 0 = -2l + 2lx + -1xL 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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