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Simplifying log[8x] + -1log[2x + -5] = log[9] Remove brackets around [8x] glo * 8x + -1log[2x + -5] = log[9] Reorder the terms for easier multiplication: 8glo * x + -1log[2x + -5] = log[9] Multiply glo * x 8glox + -1log[2x + -5] = log[9] Reorder the terms: 8glox + -1glo[-5 + 2x] = log[9] 8glox + [-5 * -1glo + 2x * -1glo] = log[9] 8glox + [5glo + -2glox] = log[9] Reorder the terms: 5glo + 8glox + -2glox = log[9] Combine like terms: 8glox + -2glox = 6glox 5glo + 6glox = log[9] Reorder the terms for easier multiplication: 5glo + 6glox = 9glo Solving 5glo + 6glox = 9glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glo' to each side of the equation. 5glo + -9glo + 6glox = 9glo + -9glo Combine like terms: 5glo + -9glo = -4glo -4glo + 6glox = 9glo + -9glo Combine like terms: 9glo + -9glo = 0 -4glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-2 + 3x) = 0 Ignore the factor 2.Subproblem 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 '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Add '-3x' to each side of the equation. 3x + -3x = 2 + -3x Combine like terms: 3x + -3x = 0 0 = 2 + -3x Simplifying 0 = 2 + -3x 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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