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Simplifying log[6](x + -3) + log[6](c + 2) = 1 Reorder the terms: glo * 6(-3 + x) + log[6](c + 2) = 1 Reorder the terms for easier multiplication: 6glo(-3 + x) + log[6](c + 2) = 1 (-3 * 6glo + x * 6glo) + log[6](c + 2) = 1 (-18glo + 6glox) + log[6](c + 2) = 1 Reorder the terms: -18glo + 6glox + glo * 6(2 + c) = 1 Reorder the terms for easier multiplication: -18glo + 6glox + 6glo(2 + c) = 1 -18glo + 6glox + (2 * 6glo + c * 6glo) = 1 Reorder the terms: -18glo + 6glox + (6cglo + 12glo) = 1 -18glo + 6glox + (6cglo + 12glo) = 1 Reorder the terms: 6cglo + -18glo + 12glo + 6glox = 1 Combine like terms: -18glo + 12glo = -6glo 6cglo + -6glo + 6glox = 1 Solving 6cglo + -6glo + 6glox = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6glo' to each side of the equation. 6cglo + -6glo + 6glo + 6glox = 1 + 6glo Combine like terms: -6glo + 6glo = 0 6cglo + 0 + 6glox = 1 + 6glo 6cglo + 6glox = 1 + 6glo Add '-6glox' to each side of the equation. 6cglo + 6glox + -6glox = 1 + 6glo + -6glox Combine like terms: 6glox + -6glox = 0 6cglo + 0 = 1 + 6glo + -6glox 6cglo = 1 + 6glo + -6glox Divide each side by '6glo'. c = 0.1666666667g-1l-1o-1 + 1 + -1x Simplifying c = 0.1666666667g-1l-1o-1 + 1 + -1x Reorder the terms: c = 1 + 0.1666666667g-1l-1o-1 + -1x
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