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Simplifying log(4v + 9) = log(5v + 10) Reorder the terms: glo(9 + 4v) = log(5v + 10) (9 * glo + 4v * glo) = log(5v + 10) (9glo + 4glov) = log(5v + 10) Reorder the terms: 9glo + 4glov = glo(10 + 5v) 9glo + 4glov = (10 * glo + 5v * glo) 9glo + 4glov = (10glo + 5glov) Solving 9glo + 4glov = 10glo + 5glov 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. 9glo + -10glo + 4glov = 10glo + -10glo + 5glov Combine like terms: 9glo + -10glo = -1glo -1glo + 4glov = 10glo + -10glo + 5glov Combine like terms: 10glo + -10glo = 0 -1glo + 4glov = 0 + 5glov -1glo + 4glov = 5glov Add '-5glov' to each side of the equation. -1glo + 4glov + -5glov = 5glov + -5glov Combine like terms: 4glov + -5glov = -1glov -1glo + -1glov = 5glov + -5glov Combine like terms: 5glov + -5glov = 0 -1glo + -1glov = 0 Factor out the Greatest Common Factor (GCF), '-1glo'. -1glo(1 + v) = 0 Ignore the factor -1.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 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 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 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Add '-1v' to each side of the equation. v + -1v = -1 + -1v Combine like terms: v + -1v = 0 0 = -1 + -1v Simplifying 0 = -1 + -1v 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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