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Simplifying log[2](x + 5) = -1log[2](x + 3) + 3 Reorder the terms: glo * 2(5 + x) = -1log[2](x + 3) + 3 Reorder the terms for easier multiplication: 2glo(5 + x) = -1log[2](x + 3) + 3 (5 * 2glo + x * 2glo) = -1log[2](x + 3) + 3 (10glo + 2glox) = -1log[2](x + 3) + 3 Reorder the terms: 10glo + 2glox = -1glo * 2(3 + x) + 3 Reorder the terms for easier multiplication: 10glo + 2glox = -1 * 2glo(3 + x) + 3 Multiply -1 * 2 10glo + 2glox = -2glo(3 + x) + 3 10glo + 2glox = (3 * -2glo + x * -2glo) + 3 10glo + 2glox = (-6glo + -2glox) + 3 Reorder the terms: 10glo + 2glox = 3 + -6glo + -2glox Solving 10glo + 2glox = 3 + -6glo + -2glox 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. 10glo + 6glo + 2glox = 3 + -6glo + 6glo + -2glox Combine like terms: 10glo + 6glo = 16glo 16glo + 2glox = 3 + -6glo + 6glo + -2glox Combine like terms: -6glo + 6glo = 0 16glo + 2glox = 3 + 0 + -2glox 16glo + 2glox = 3 + -2glox Add '2glox' to each side of the equation. 16glo + 2glox + 2glox = 3 + -2glox + 2glox Combine like terms: 2glox + 2glox = 4glox 16glo + 4glox = 3 + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 16glo + 4glox = 3 + 0 16glo + 4glox = 3 Reorder the terms: -3 + 16glo + 4glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 16glo + 4glox = 0 The solution to this equation could not be determined.
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