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Simplifying log * 5 + log(10 + 2x) + -1 = log(x + -4) Reorder the terms for easier multiplication: 5glo + log(10 + 2x) + -1 = log(x + -4) 5glo + (10 * glo + 2x * glo) + -1 = log(x + -4) 5glo + (10glo + 2glox) + -1 = log(x + -4) Reorder the terms: -1 + 5glo + 10glo + 2glox = log(x + -4) Combine like terms: 5glo + 10glo = 15glo -1 + 15glo + 2glox = log(x + -4) Reorder the terms: -1 + 15glo + 2glox = glo(-4 + x) -1 + 15glo + 2glox = (-4 * glo + x * glo) -1 + 15glo + 2glox = (-4glo + glox) Solving -1 + 15glo + 2glox = -4glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4glo' to each side of the equation. -1 + 15glo + 4glo + 2glox = -4glo + 4glo + glox Combine like terms: 15glo + 4glo = 19glo -1 + 19glo + 2glox = -4glo + 4glo + glox Combine like terms: -4glo + 4glo = 0 -1 + 19glo + 2glox = 0 + glox -1 + 19glo + 2glox = glox Add '-1glox' to each side of the equation. -1 + 19glo + 2glox + -1glox = glox + -1glox Combine like terms: 2glox + -1glox = 1glox -1 + 19glo + 1glox = glox + -1glox Combine like terms: glox + -1glox = 0 -1 + 19glo + 1glox = 0 Add '1' to each side of the equation. -1 + 19glo + 1 + 1glox = 0 + 1 Reorder the terms: -1 + 1 + 19glo + 1glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 19glo + 1glox = 0 + 1 19glo + 1glox = 0 + 1 Combine like terms: 0 + 1 = 1 19glo + 1glox = 1 Reorder the terms: -1 + 19glo + 1glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 19glo + 1glox = 0 The solution to this equation could not be determined.
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