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Simplifying log(x) = log(x + 6) + 3 Multiply glo * x glox = log(x + 6) + 3 Reorder the terms: glox = glo(6 + x) + 3 glox = (6 * glo + x * glo) + 3 glox = (6glo + glox) + 3 Reorder the terms: glox = 3 + 6glo + glox Add '-1glox' to each side of the equation. glox + -1glox = 3 + 6glo + glox + -1glox Combine like terms: glox + -1glox = 0 0 = 3 + 6glo + glox + -1glox Combine like terms: glox + -1glox = 0 0 = 3 + 6glo + 0 0 = 3 + 6glo Solving 0 = 3 + 6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glo' to each side of the equation. 0 + -6glo = 3 + 6glo + -6glo Remove the zero: -6glo = 3 + 6glo + -6glo Combine like terms: 6glo + -6glo = 0 -6glo = 3 + 0 -6glo = 3 Divide each side by '-6lo'. g = -0.5l-1o-1 Simplifying g = -0.5l-1o-1
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