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Simplifying log(25) + -2 + log(2x) = -1log(x + 1) Reorder the terms for easier multiplication: 25glo + -2 + log(2x) = -1log(x + 1) Remove parenthesis around (2x) 25glo + -2 + glo * 2x = -1log(x + 1) Reorder the terms for easier multiplication: 25glo + -2 + 2glo * x = -1log(x + 1) Multiply glo * x 25glo + -2 + 2glox = -1log(x + 1) Reorder the terms: -2 + 25glo + 2glox = -1log(x + 1) Reorder the terms: -2 + 25glo + 2glox = -1glo(1 + x) -2 + 25glo + 2glox = (1 * -1glo + x * -1glo) -2 + 25glo + 2glox = (-1glo + -1glox) Solving -2 + 25glo + 2glox = -1glo + -1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glo' to each side of the equation. -2 + 25glo + glo + 2glox = -1glo + glo + -1glox Combine like terms: 25glo + glo = 26glo -2 + 26glo + 2glox = -1glo + glo + -1glox Combine like terms: -1glo + glo = 0 -2 + 26glo + 2glox = 0 + -1glox -2 + 26glo + 2glox = -1glox Add 'glox' to each side of the equation. -2 + 26glo + 2glox + glox = -1glox + glox Combine like terms: 2glox + glox = 3glox -2 + 26glo + 3glox = -1glox + glox Combine like terms: -1glox + glox = 0 -2 + 26glo + 3glox = 0 Add '2' to each side of the equation. -2 + 26glo + 2 + 3glox = 0 + 2 Reorder the terms: -2 + 2 + 26glo + 3glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 26glo + 3glox = 0 + 2 26glo + 3glox = 0 + 2 Combine like terms: 0 + 2 = 2 26glo + 3glox = 2 Reorder the terms: -2 + 26glo + 3glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 26glo + 3glox = 0 The solution to this equation could not be determined.
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