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Simplifying log[10](9x + 4) = log[10](1) Reorder the terms: glo * 10(4 + 9x) = log[10](1) Reorder the terms for easier multiplication: 10glo(4 + 9x) = log[10](1) (4 * 10glo + 9x * 10glo) = log[10](1) (40glo + 90glox) = log[10](1) Reorder the terms for easier multiplication: 40glo + 90glox = 10 * 1glo Multiply 10 * 1 40glo + 90glox = 10glo Solving 40glo + 90glox = 10glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glo' to each side of the equation. 40glo + -10glo + 90glox = 10glo + -10glo Combine like terms: 40glo + -10glo = 30glo 30glo + 90glox = 10glo + -10glo Combine like terms: 10glo + -10glo = 0 30glo + 90glox = 0 Factor out the Greatest Common Factor (GCF), '30glo'. 30glo(1 + 3x) = 0 Ignore the factor 30.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 '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Add '-3x' to each side of the equation. 3x + -3x = -1 + -3x Combine like terms: 3x + -3x = 0 0 = -1 + -3x Simplifying 0 = -1 + -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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