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Simplifying log(2m) + log(m + 3) = log(4 + -1m) Remove parenthesis around (2m) glo * 2m + log(m + 3) = log(4 + -1m) Reorder the terms for easier multiplication: 2glo * m + log(m + 3) = log(4 + -1m) Multiply glo * m 2glmo + log(m + 3) = log(4 + -1m) Reorder the terms: 2glmo + glo(3 + m) = log(4 + -1m) 2glmo + (3 * glo + m * glo) = log(4 + -1m) Reorder the terms: 2glmo + (glmo + 3glo) = log(4 + -1m) 2glmo + (glmo + 3glo) = log(4 + -1m) Combine like terms: 2glmo + glmo = 3glmo 3glmo + 3glo = log(4 + -1m) 3glmo + 3glo = (4 * glo + -1m * glo) Reorder the terms: 3glmo + 3glo = (-1glmo + 4glo) 3glmo + 3glo = (-1glmo + 4glo) Solving 3glmo + 3glo = -1glmo + 4glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glmo' to each side of the equation. 3glmo + glmo + 3glo = -1glmo + glmo + 4glo Combine like terms: 3glmo + glmo = 4glmo 4glmo + 3glo = -1glmo + glmo + 4glo Combine like terms: -1glmo + glmo = 0 4glmo + 3glo = 0 + 4glo 4glmo + 3glo = 4glo Add '-4glo' to each side of the equation. 4glmo + 3glo + -4glo = 4glo + -4glo Combine like terms: 3glo + -4glo = -1glo 4glmo + -1glo = 4glo + -4glo Combine like terms: 4glo + -4glo = 0 4glmo + -1glo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(4m + -1) = 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 '(4m + -1)' equal to zero and attempt to solve: Simplifying 4m + -1 = 0 Reorder the terms: -1 + 4m = 0 Solving -1 + 4m = 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 + 4m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4m = 0 + 1 4m = 0 + 1 Combine like terms: 0 + 1 = 1 4m = 1 Add '-4m' to each side of the equation. 4m + -4m = 1 + -4m Combine like terms: 4m + -4m = 0 0 = 1 + -4m Simplifying 0 = 1 + -4m 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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