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Simplifying log[4](x + 3) = 2 + log[4](x + -5) Reorder the terms: glo * 4(3 + x) = 2 + log[4](x + -5) Reorder the terms for easier multiplication: 4glo(3 + x) = 2 + log[4](x + -5) (3 * 4glo + x * 4glo) = 2 + log[4](x + -5) (12glo + 4glox) = 2 + log[4](x + -5) Reorder the terms: 12glo + 4glox = 2 + glo * 4(-5 + x) Reorder the terms for easier multiplication: 12glo + 4glox = 2 + 4glo(-5 + x) 12glo + 4glox = 2 + (-5 * 4glo + x * 4glo) 12glo + 4glox = 2 + (-20glo + 4glox) Add '-4glox' to each side of the equation. 12glo + 4glox + -4glox = 2 + -20glo + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 12glo + 0 = 2 + -20glo + 4glox + -4glox 12glo = 2 + -20glo + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 12glo = 2 + -20glo + 0 12glo = 2 + -20glo Solving 12glo = 2 + -20glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '20glo' to each side of the equation. 12glo + 20glo = 2 + -20glo + 20glo Combine like terms: 12glo + 20glo = 32glo 32glo = 2 + -20glo + 20glo Combine like terms: -20glo + 20glo = 0 32glo = 2 + 0 32glo = 2 Divide each side by '32lo'. g = 0.0625l-1o-1 Simplifying g = 0.0625l-1o-1
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