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Simplifying log(5 + r) = log(5s + -2) (5 * glo + r * glo) = log(5s + -2) (5glo + glor) = log(5s + -2) Reorder the terms: 5glo + glor = glo(-2 + 5s) 5glo + glor = (-2 * glo + 5s * glo) 5glo + glor = (-2glo + 5glos) Solving 5glo + glor = -2glo + 5glos Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. 5glo + 2glo + glor = -2glo + 2glo + 5glos Combine like terms: 5glo + 2glo = 7glo 7glo + glor = -2glo + 2glo + 5glos Combine like terms: -2glo + 2glo = 0 7glo + glor = 0 + 5glos 7glo + glor = 5glos Add '-5glos' to each side of the equation. 7glo + glor + -5glos = 5glos + -5glos Combine like terms: 5glos + -5glos = 0 7glo + glor + -5glos = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(7 + r + -5s) = 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 '(7 + r + -5s)' equal to zero and attempt to solve: Simplifying 7 + r + -5s = 0 Solving 7 + r + -5s = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + r + -7 + -5s = 0 + -7 Reorder the terms: 7 + -7 + r + -5s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + r + -5s = 0 + -7 r + -5s = 0 + -7 Combine like terms: 0 + -7 = -7 r + -5s = -7 Add '-1r' to each side of the equation. r + -1r + -5s = -7 + -1r Combine like terms: r + -1r = 0 0 + -5s = -7 + -1r -5s = -7 + -1r Add '5s' to each side of the equation. -5s + 5s = -7 + -1r + 5s Combine like terms: -5s + 5s = 0 0 = -7 + -1r + 5s Simplifying 0 = -7 + -1r + 5s 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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