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Simplifying log(48) + -1log(w) = log(4) Reorder the terms for easier multiplication: 48glo + -1log(w) = log(4) Multiply glo * w 48glo + -1glow = log(4) Reorder the terms for easier multiplication: 48glo + -1glow = 4glo Solving 48glo + -1glow = 4glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glo' to each side of the equation. 48glo + -4glo + -1glow = 4glo + -4glo Combine like terms: 48glo + -4glo = 44glo 44glo + -1glow = 4glo + -4glo Combine like terms: 4glo + -4glo = 0 44glo + -1glow = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(44 + -1w) = 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 '(44 + -1w)' equal to zero and attempt to solve: Simplifying 44 + -1w = 0 Solving 44 + -1w = 0 Move all terms containing g to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -1w = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -1w = 0 + -44 -1w = 0 + -44 Combine like terms: 0 + -44 = -44 -1w = -44 Add 'w' to each side of the equation. -1w + w = -44 + w Combine like terms: -1w + w = 0 0 = -44 + w Simplifying 0 = -44 + w 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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