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Simplifying Logb(x) + logb(x + -5) = logb(24) Multiply bgoL * x bgoxL + logb(x + -5) = logb(24) Reorder the terms: bgoxL + bglo(-5 + x) = logb(24) bgoxL + (-5 * bglo + x * bglo) = logb(24) bgoxL + (-5bglo + bglox) = logb(24) Reorder the terms: -5bglo + bglox + bgoxL = logb(24) Reorder the terms for easier multiplication: -5bglo + bglox + bgoxL = 24bglo Solving -5bglo + bglox + bgoxL = 24bglo Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24bglo' to each side of the equation. -5bglo + bglox + -24bglo + bgoxL = 24bglo + -24bglo Reorder the terms: -5bglo + -24bglo + bglox + bgoxL = 24bglo + -24bglo Combine like terms: -5bglo + -24bglo = -29bglo -29bglo + bglox + bgoxL = 24bglo + -24bglo Combine like terms: 24bglo + -24bglo = 0 -29bglo + bglox + bgoxL = 0 Factor out the Greatest Common Factor (GCF), 'bgo'. bgo(-29l + lx + 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 '(-29l + lx + xL)' equal to zero and attempt to solve: Simplifying -29l + lx + xL = 0 Solving -29l + lx + xL = 0 Move all terms containing b to the left, all other terms to the right. Add '29l' to each side of the equation. -29l + lx + 29l + xL = 0 + 29l Reorder the terms: -29l + 29l + lx + xL = 0 + 29l Combine like terms: -29l + 29l = 0 0 + lx + xL = 0 + 29l lx + xL = 0 + 29l Remove the zero: lx + xL = 29l Add '-1lx' to each side of the equation. lx + -1lx + xL = 29l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = 29l + -1lx xL = 29l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = 29l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = 29l + -1lx + -1xL Simplifying 0 = 29l + -1lx + -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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