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Simplifying log(8)(x + 5) + -1log(8)(x + -2) = 1 Reorder the terms: glo * 8(5 + x) + -1log(8)(x + -2) = 1 Reorder the terms for easier multiplication: 8glo(5 + x) + -1log(8)(x + -2) = 1 (5 * 8glo + x * 8glo) + -1log(8)(x + -2) = 1 (40glo + 8glox) + -1log(8)(x + -2) = 1 Reorder the terms: 40glo + 8glox + -1glo * 8(-2 + x) = 1 Reorder the terms for easier multiplication: 40glo + 8glox + -1 * 8glo(-2 + x) = 1 Multiply -1 * 8 40glo + 8glox + -8glo(-2 + x) = 1 40glo + 8glox + (-2 * -8glo + x * -8glo) = 1 40glo + 8glox + (16glo + -8glox) = 1 Reorder the terms: 40glo + 16glo + 8glox + -8glox = 1 Combine like terms: 40glo + 16glo = 56glo 56glo + 8glox + -8glox = 1 Combine like terms: 8glox + -8glox = 0 56glo + 0 = 1 56glo = 1 Solving 56glo = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '56lo'. g = 0.01785714286l-1o-1 Simplifying g = 0.01785714286l-1o-1
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