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Simplifying log[4](x + -8) = 3 + -1log[4](x + 55) Reorder the terms: glo * 4(-8 + x) = 3 + -1log[4](x + 55) Reorder the terms for easier multiplication: 4glo(-8 + x) = 3 + -1log[4](x + 55) (-8 * 4glo + x * 4glo) = 3 + -1log[4](x + 55) (-32glo + 4glox) = 3 + -1log[4](x + 55) Reorder the terms: -32glo + 4glox = 3 + -1glo * 4(55 + x) Reorder the terms for easier multiplication: -32glo + 4glox = 3 + -1 * 4glo(55 + x) Multiply -1 * 4 -32glo + 4glox = 3 + -4glo(55 + x) -32glo + 4glox = 3 + (55 * -4glo + x * -4glo) -32glo + 4glox = 3 + (-220glo + -4glox) Solving -32glo + 4glox = 3 + -220glo + -4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '220glo' to each side of the equation. -32glo + 220glo + 4glox = 3 + -220glo + 220glo + -4glox Combine like terms: -32glo + 220glo = 188glo 188glo + 4glox = 3 + -220glo + 220glo + -4glox Combine like terms: -220glo + 220glo = 0 188glo + 4glox = 3 + 0 + -4glox 188glo + 4glox = 3 + -4glox Add '4glox' to each side of the equation. 188glo + 4glox + 4glox = 3 + -4glox + 4glox Combine like terms: 4glox + 4glox = 8glox 188glo + 8glox = 3 + -4glox + 4glox Combine like terms: -4glox + 4glox = 0 188glo + 8glox = 3 + 0 188glo + 8glox = 3 Reorder the terms: -3 + 188glo + 8glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 188glo + 8glox = 0 The solution to this equation could not be determined.
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