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Simplifying log(9x + 4) + -1log(2x + -3) = log(8) Reorder the terms: glo(4 + 9x) + -1log(2x + -3) = log(8) (4 * glo + 9x * glo) + -1log(2x + -3) = log(8) (4glo + 9glox) + -1log(2x + -3) = log(8) Reorder the terms: 4glo + 9glox + -1glo(-3 + 2x) = log(8) 4glo + 9glox + (-3 * -1glo + 2x * -1glo) = log(8) 4glo + 9glox + (3glo + -2glox) = log(8) Reorder the terms: 4glo + 3glo + 9glox + -2glox = log(8) Combine like terms: 4glo + 3glo = 7glo 7glo + 9glox + -2glox = log(8) Combine like terms: 9glox + -2glox = 7glox 7glo + 7glox = log(8) Reorder the terms for easier multiplication: 7glo + 7glox = 8glo Solving 7glo + 7glox = 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. 7glo + -8glo + 7glox = 8glo + -8glo Combine like terms: 7glo + -8glo = -1glo -1glo + 7glox = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 -1glo + 7glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-1 + 7x) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-1 + 7x)' equal to zero and attempt to solve: Simplifying -1 + 7x = 0 Solving -1 + 7x = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 0 + 1 7x = 0 + 1 Combine like terms: 0 + 1 = 1 7x = 1 Add '-7x' to each side of the equation. 7x + -7x = 1 + -7x Combine like terms: 7x + -7x = 0 0 = 1 + -7x Simplifying 0 = 1 + -7x 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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