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Simplifying log(5)(x + 4) + log(5)(x + 1) = 2 Reorder the terms: glo * 5(4 + x) + log(5)(x + 1) = 2 Reorder the terms for easier multiplication: 5glo(4 + x) + log(5)(x + 1) = 2 (4 * 5glo + x * 5glo) + log(5)(x + 1) = 2 (20glo + 5glox) + log(5)(x + 1) = 2 Reorder the terms: 20glo + 5glox + glo * 5(1 + x) = 2 Reorder the terms for easier multiplication: 20glo + 5glox + 5glo(1 + x) = 2 20glo + 5glox + (1 * 5glo + x * 5glo) = 2 20glo + 5glox + (5glo + 5glox) = 2 Reorder the terms: 20glo + 5glo + 5glox + 5glox = 2 Combine like terms: 20glo + 5glo = 25glo 25glo + 5glox + 5glox = 2 Combine like terms: 5glox + 5glox = 10glox 25glo + 10glox = 2 Solving 25glo + 10glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 25glo + 10glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 25glo + 10glox = 0 The solution to this equation could not be determined.
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