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Simplifying log[4](2x + 3) = log[4](x + 3) Reorder the terms: glo * 4(3 + 2x) = log[4](x + 3) Reorder the terms for easier multiplication: 4glo(3 + 2x) = log[4](x + 3) (3 * 4glo + 2x * 4glo) = log[4](x + 3) (12glo + 8glox) = log[4](x + 3) Reorder the terms: 12glo + 8glox = glo * 4(3 + x) Reorder the terms for easier multiplication: 12glo + 8glox = 4glo(3 + x) 12glo + 8glox = (3 * 4glo + x * 4glo) 12glo + 8glox = (12glo + 4glox) Add '-12glo' to each side of the equation. 12glo + -12glo + 8glox = 12glo + -12glo + 4glox Combine like terms: 12glo + -12glo = 0 0 + 8glox = 12glo + -12glo + 4glox 8glox = 12glo + -12glo + 4glox Combine like terms: 12glo + -12glo = 0 8glox = 0 + 4glox 8glox = 4glox Solving 8glox = 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glox' to each side of the equation. 8glox + -4glox = 4glox + -4glox Combine like terms: 8glox + -4glox = 4glox 4glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 4glox = 0 Divide each side by '4'. glox = 0 Simplifying glox = 0 The solution to this equation could not be determined.
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