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Simplifying log(x) + -1log(x + -3) = log(7x) Multiply glo * x glox + -1log(x + -3) = log(7x) Reorder the terms: glox + -1glo(-3 + x) = log(7x) glox + (-3 * -1glo + x * -1glo) = log(7x) glox + (3glo + -1glox) = log(7x) Reorder the terms: 3glo + glox + -1glox = log(7x) Combine like terms: glox + -1glox = 0 3glo + 0 = log(7x) 3glo = log(7x) Remove parenthesis around (7x) 3glo = glo * 7x Reorder the terms for easier multiplication: 3glo = 7glo * x Multiply glo * x 3glo = 7glox Solving 3glo = 7glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7glox' to each side of the equation. 3glo + -7glox = 7glox + -7glox Combine like terms: 7glox + -7glox = 0 3glo + -7glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(3 + -7x) = 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 '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Add '7x' to each side of the equation. -7x + 7x = -3 + 7x Combine like terms: -7x + 7x = 0 0 = -3 + 7x Simplifying 0 = -3 + 7x 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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