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Simplifying Log(9x) + -1log(2x + -5) = log(8) Remove parenthesis around (9x) goL * 9x + -1log(2x + -5) = log(8) Reorder the terms for easier multiplication: 9goL * x + -1log(2x + -5) = log(8) Multiply goL * x 9goxL + -1log(2x + -5) = log(8) Reorder the terms: 9goxL + -1glo(-5 + 2x) = log(8) 9goxL + (-5 * -1glo + 2x * -1glo) = log(8) 9goxL + (5glo + -2glox) = log(8) Reorder the terms: 5glo + -2glox + 9goxL = log(8) Reorder the terms for easier multiplication: 5glo + -2glox + 9goxL = 8glo Solving 5glo + -2glox + 9goxL = 8glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. 5glo + -2glox + -8glo + 9goxL = 8glo + -8glo Reorder the terms: 5glo + -8glo + -2glox + 9goxL = 8glo + -8glo Combine like terms: 5glo + -8glo = -3glo -3glo + -2glox + 9goxL = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 -3glo + -2glox + 9goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-3l + -2lx + 9xL) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-3l + -2lx + 9xL)' equal to zero and attempt to solve: Simplifying -3l + -2lx + 9xL = 0 Solving -3l + -2lx + 9xL = 0 Move all terms containing g to the left, all other terms to the right. Add '3l' to each side of the equation. -3l + -2lx + 3l + 9xL = 0 + 3l Reorder the terms: -3l + 3l + -2lx + 9xL = 0 + 3l Combine like terms: -3l + 3l = 0 0 + -2lx + 9xL = 0 + 3l -2lx + 9xL = 0 + 3l Remove the zero: -2lx + 9xL = 3l Add '2lx' to each side of the equation. -2lx + 2lx + 9xL = 3l + 2lx Combine like terms: -2lx + 2lx = 0 0 + 9xL = 3l + 2lx 9xL = 3l + 2lx Add '-9xL' to each side of the equation. 9xL + -9xL = 3l + 2lx + -9xL Combine like terms: 9xL + -9xL = 0 0 = 3l + 2lx + -9xL Simplifying 0 = 3l + 2lx + -9xL 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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