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Simplifying log[5](x + 18) + log[5](x + -6) = 2log[5](x) Reorder the terms: glo * 5(18 + x) + log[5](x + -6) = 2log[5](x) Reorder the terms for easier multiplication: 5glo(18 + x) + log[5](x + -6) = 2log[5](x) (18 * 5glo + x * 5glo) + log[5](x + -6) = 2log[5](x) (90glo + 5glox) + log[5](x + -6) = 2log[5](x) Reorder the terms: 90glo + 5glox + glo * 5(-6 + x) = 2log[5](x) Reorder the terms for easier multiplication: 90glo + 5glox + 5glo(-6 + x) = 2log[5](x) 90glo + 5glox + (-6 * 5glo + x * 5glo) = 2log[5](x) 90glo + 5glox + (-30glo + 5glox) = 2log[5](x) Reorder the terms: 90glo + -30glo + 5glox + 5glox = 2log[5](x) Combine like terms: 90glo + -30glo = 60glo 60glo + 5glox + 5glox = 2log[5](x) Combine like terms: 5glox + 5glox = 10glox 60glo + 10glox = 2log[5](x) Reorder the terms for easier multiplication: 60glo + 10glox = 2 * 5glo * x Multiply 2 * 5 60glo + 10glox = 10glo * x Multiply glo * x 60glo + 10glox = 10glox Add '-10glox' to each side of the equation. 60glo + 10glox + -10glox = 10glox + -10glox Combine like terms: 10glox + -10glox = 0 60glo + 0 = 10glox + -10glox 60glo = 10glox + -10glox Combine like terms: 10glox + -10glox = 0 60glo = 0 Solving 60glo = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '60'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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