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Simplifying log[2](9x + 11) = 3 + log[2](x + 5) Reorder the terms: glo * 2(11 + 9x) = 3 + log[2](x + 5) Reorder the terms for easier multiplication: 2glo(11 + 9x) = 3 + log[2](x + 5) (11 * 2glo + 9x * 2glo) = 3 + log[2](x + 5) (22glo + 18glox) = 3 + log[2](x + 5) Reorder the terms: 22glo + 18glox = 3 + glo * 2(5 + x) Reorder the terms for easier multiplication: 22glo + 18glox = 3 + 2glo(5 + x) 22glo + 18glox = 3 + (5 * 2glo + x * 2glo) 22glo + 18glox = 3 + (10glo + 2glox) Solving 22glo + 18glox = 3 + 10glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glo' to each side of the equation. 22glo + -10glo + 18glox = 3 + 10glo + -10glo + 2glox Combine like terms: 22glo + -10glo = 12glo 12glo + 18glox = 3 + 10glo + -10glo + 2glox Combine like terms: 10glo + -10glo = 0 12glo + 18glox = 3 + 0 + 2glox 12glo + 18glox = 3 + 2glox Add '-2glox' to each side of the equation. 12glo + 18glox + -2glox = 3 + 2glox + -2glox Combine like terms: 18glox + -2glox = 16glox 12glo + 16glox = 3 + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 12glo + 16glox = 3 + 0 12glo + 16glox = 3 Reorder the terms: -3 + 12glo + 16glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 12glo + 16glox = 0 The solution to this equation could not be determined.
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