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Simplifying log(3x) = log(4) + log(x + -5) Remove parenthesis around (3x) glo * 3x = log(4) + log(x + -5) Reorder the terms for easier multiplication: 3glo * x = log(4) + log(x + -5) Multiply glo * x 3glox = log(4) + log(x + -5) Reorder the terms for easier multiplication: 3glox = 4glo + log(x + -5) Reorder the terms: 3glox = 4glo + glo(-5 + x) 3glox = 4glo + (-5 * glo + x * glo) 3glox = 4glo + (-5glo + glox) Combine like terms: 4glo + -5glo = -1glo 3glox = -1glo + glox Solving 3glox = -1glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glo' to each side of the equation. glo + 3glox = -1glo + glo + glox Combine like terms: -1glo + glo = 0 glo + 3glox = 0 + glox glo + 3glox = glox Add '-1glox' to each side of the equation. glo + 3glox + -1glox = glox + -1glox Combine like terms: 3glox + -1glox = 2glox glo + 2glox = glox + -1glox Combine like terms: glox + -1glox = 0 glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x 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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