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Simplifying log(5)(x + -4) + log(5)(x + 120) = 3 Reorder the terms: glo * 5(-4 + x) + log(5)(x + 120) = 3 Reorder the terms for easier multiplication: 5glo(-4 + x) + log(5)(x + 120) = 3 (-4 * 5glo + x * 5glo) + log(5)(x + 120) = 3 (-20glo + 5glox) + log(5)(x + 120) = 3 Reorder the terms: -20glo + 5glox + glo * 5(120 + x) = 3 Reorder the terms for easier multiplication: -20glo + 5glox + 5glo(120 + x) = 3 -20glo + 5glox + (120 * 5glo + x * 5glo) = 3 -20glo + 5glox + (600glo + 5glox) = 3 Reorder the terms: -20glo + 600glo + 5glox + 5glox = 3 Combine like terms: -20glo + 600glo = 580glo 580glo + 5glox + 5glox = 3 Combine like terms: 5glox + 5glox = 10glox 580glo + 10glox = 3 Solving 580glo + 10glox = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -3 + 580glo + 10glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 580glo + 10glox = 0 The solution to this equation could not be determined.
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