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Simplifying log(8)(5x + 5) = log(8)(5x + 2) Reorder the terms: glo * 8(5 + 5x) = log(8)(5x + 2) Reorder the terms for easier multiplication: 8glo(5 + 5x) = log(8)(5x + 2) (5 * 8glo + 5x * 8glo) = log(8)(5x + 2) (40glo + 40glox) = log(8)(5x + 2) Reorder the terms: 40glo + 40glox = glo * 8(2 + 5x) Reorder the terms for easier multiplication: 40glo + 40glox = 8glo(2 + 5x) 40glo + 40glox = (2 * 8glo + 5x * 8glo) 40glo + 40glox = (16glo + 40glox) Add '-40glox' to each side of the equation. 40glo + 40glox + -40glox = 16glo + 40glox + -40glox Combine like terms: 40glox + -40glox = 0 40glo + 0 = 16glo + 40glox + -40glox 40glo = 16glo + 40glox + -40glox Combine like terms: 40glox + -40glox = 0 40glo = 16glo + 0 40glo = 16glo Solving 40glo = 16glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-16glo' to each side of the equation. 40glo + -16glo = 16glo + -16glo Combine like terms: 40glo + -16glo = 24glo 24glo = 16glo + -16glo Combine like terms: 16glo + -16glo = 0 24glo = 0 Divide each side by '24'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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