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Simplifying log(x + 3) = 5 + -1log(x + 21) Reorder the terms: glo(3 + x) = 5 + -1log(x + 21) (3 * glo + x * glo) = 5 + -1log(x + 21) (3glo + glox) = 5 + -1log(x + 21) Reorder the terms: 3glo + glox = 5 + -1glo(21 + x) 3glo + glox = 5 + (21 * -1glo + x * -1glo) 3glo + glox = 5 + (-21glo + -1glox) Solving 3glo + glox = 5 + -21glo + -1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '21glo' to each side of the equation. 3glo + 21glo + glox = 5 + -21glo + 21glo + -1glox Combine like terms: 3glo + 21glo = 24glo 24glo + glox = 5 + -21glo + 21glo + -1glox Combine like terms: -21glo + 21glo = 0 24glo + glox = 5 + 0 + -1glox 24glo + glox = 5 + -1glox Add 'glox' to each side of the equation. 24glo + glox + glox = 5 + -1glox + glox Combine like terms: glox + glox = 2glox 24glo + 2glox = 5 + -1glox + glox Combine like terms: -1glox + glox = 0 24glo + 2glox = 5 + 0 24glo + 2glox = 5 Reorder the terms: -5 + 24glo + 2glox = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 24glo + 2glox = 0 The solution to this equation could not be determined.
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