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Simplifying 2log(x + 5) = log(36) + log(4) Reorder the terms: 2glo(5 + x) = log(36) + log(4) (5 * 2glo + x * 2glo) = log(36) + log(4) (10glo + 2glox) = log(36) + log(4) Reorder the terms for easier multiplication: 10glo + 2glox = 36glo + log(4) Reorder the terms for easier multiplication: 10glo + 2glox = 36glo + 4glo Combine like terms: 36glo + 4glo = 40glo 10glo + 2glox = 40glo Solving 10glo + 2glox = 40glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-40glo' to each side of the equation. 10glo + -40glo + 2glox = 40glo + -40glo Combine like terms: 10glo + -40glo = -30glo -30glo + 2glox = 40glo + -40glo Combine like terms: 40glo + -40glo = 0 -30glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-15 + x) = 0 Ignore the factor 2.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 '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Add '-1x' to each side of the equation. x + -1x = 15 + -1x Combine like terms: x + -1x = 0 0 = 15 + -1x Simplifying 0 = 15 + -1x 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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