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Simplifying log(x) + log(x + 5) = log(66) Multiply glo * x glox + log(x + 5) = log(66) Reorder the terms: glox + glo(5 + x) = log(66) glox + (5 * glo + x * glo) = log(66) glox + (5glo + glox) = log(66) Reorder the terms: 5glo + glox + glox = log(66) Combine like terms: glox + glox = 2glox 5glo + 2glox = log(66) Reorder the terms for easier multiplication: 5glo + 2glox = 66glo Solving 5glo + 2glox = 66glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-66glo' to each side of the equation. 5glo + -66glo + 2glox = 66glo + -66glo Combine like terms: 5glo + -66glo = -61glo -61glo + 2glox = 66glo + -66glo Combine like terms: 66glo + -66glo = 0 -61glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-61 + 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 '(-61 + 2x)' equal to zero and attempt to solve: Simplifying -61 + 2x = 0 Solving -61 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + 2x = 0 + 61 Combine like terms: -61 + 61 = 0 0 + 2x = 0 + 61 2x = 0 + 61 Combine like terms: 0 + 61 = 61 2x = 61 Add '-2x' to each side of the equation. 2x + -2x = 61 + -2x Combine like terms: 2x + -2x = 0 0 = 61 + -2x Simplifying 0 = 61 + -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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