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Simplifying log(8)(5x + 8) = log(8)(5x + 5) Reorder the terms: glo * 8(8 + 5x) = log(8)(5x + 5) Reorder the terms for easier multiplication: 8glo(8 + 5x) = log(8)(5x + 5) (8 * 8glo + 5x * 8glo) = log(8)(5x + 5) (64glo + 40glox) = log(8)(5x + 5) Reorder the terms: 64glo + 40glox = glo * 8(5 + 5x) Reorder the terms for easier multiplication: 64glo + 40glox = 8glo(5 + 5x) 64glo + 40glox = (5 * 8glo + 5x * 8glo) 64glo + 40glox = (40glo + 40glox) Add '-40glox' to each side of the equation. 64glo + 40glox + -40glox = 40glo + 40glox + -40glox Combine like terms: 40glox + -40glox = 0 64glo + 0 = 40glo + 40glox + -40glox 64glo = 40glo + 40glox + -40glox Combine like terms: 40glox + -40glox = 0 64glo = 40glo + 0 64glo = 40glo Solving 64glo = 40glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-40glo' to each side of the equation. 64glo + -40glo = 40glo + -40glo Combine like terms: 64glo + -40glo = 24glo 24glo = 40glo + -40glo Combine like terms: 40glo + -40glo = 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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