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Simplifying logb(x) + logb(12x) = logb(12x2) Multiply bglo * x bglox + logb(12x) = logb(12x2) Remove parenthesis around (12x) bglox + bglo * 12x = logb(12x2) Reorder the terms for easier multiplication: bglox + 12bglo * x = logb(12x2) Multiply bglo * x bglox + 12bglox = logb(12x2) Combine like terms: bglox + 12bglox = 13bglox 13bglox = logb(12x2) Remove parenthesis around (12x2) 13bglox = bglo * 12x2 Reorder the terms for easier multiplication: 13bglox = 12bglo * x2 Multiply bglo * x2 13bglox = 12bglox2 Solving 13bglox = 12bglox2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12bglox2' to each side of the equation. 13bglox + -12bglox2 = 12bglox2 + -12bglox2 Combine like terms: 12bglox2 + -12bglox2 = 0 13bglox + -12bglox2 = 0 Factor out the Greatest Common Factor (GCF), 'bglox'. bglox(13 + -12x) = 0Subproblem 1
Set the factor 'bglox' equal to zero and attempt to solve: Simplifying bglox = 0 Solving bglox = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bglox = 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 '(13 + -12x)' equal to zero and attempt to solve: Simplifying 13 + -12x = 0 Solving 13 + -12x = 0 Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -12x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -12x = 0 + -13 -12x = 0 + -13 Combine like terms: 0 + -13 = -13 -12x = -13 Add '12x' to each side of the equation. -12x + 12x = -13 + 12x Combine like terms: -12x + 12x = 0 0 = -13 + 12x Simplifying 0 = -13 + 12x 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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