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