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Simplifying log[3](s + 45) + -1log[3](s + 5) = log[3] * s Reorder the terms: glo * 3(45 + s) + -1log[3](s + 5) = log[3] * s Reorder the terms for easier multiplication: 3glo(45 + s) + -1log[3](s + 5) = log[3] * s (45 * 3glo + s * 3glo) + -1log[3](s + 5) = log[3] * s (135glo + 3glos) + -1log[3](s + 5) = log[3] * s Reorder the terms: 135glo + 3glos + -1glo * 3(5 + s) = log[3] * s Reorder the terms for easier multiplication: 135glo + 3glos + -1 * 3glo(5 + s) = log[3] * s Multiply -1 * 3 135glo + 3glos + -3glo(5 + s) = log[3] * s 135glo + 3glos + (5 * -3glo + s * -3glo) = log[3] * s 135glo + 3glos + (-15glo + -3glos) = log[3] * s Reorder the terms: 135glo + -15glo + 3glos + -3glos = log[3] * s Combine like terms: 135glo + -15glo = 120glo 120glo + 3glos + -3glos = log[3] * s Combine like terms: 3glos + -3glos = 0 120glo + 0 = log[3] * s 120glo = log[3] * s Reorder the terms for easier multiplication: 120glo = 3glo * s Multiply glo * s 120glo = 3glos Solving 120glo = 3glos Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glos' to each side of the equation. 120glo + -3glos = 3glos + -3glos Combine like terms: 3glos + -3glos = 0 120glo + -3glos = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(40 + -1s) = 0 Ignore the factor 3.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 '(40 + -1s)' equal to zero and attempt to solve: Simplifying 40 + -1s = 0 Solving 40 + -1s = 0 Move all terms containing g to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1s = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1s = 0 + -40 -1s = 0 + -40 Combine like terms: 0 + -40 = -40 -1s = -40 Add 's' to each side of the equation. -1s + s = -40 + s Combine like terms: -1s + s = 0 0 = -40 + s Simplifying 0 = -40 + s 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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