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Simplifying log[4](x + 60) = 3 + -1log[4](x + -3) Reorder the terms: glo * 4(60 + x) = 3 + -1log[4](x + -3) Reorder the terms for easier multiplication: 4glo(60 + x) = 3 + -1log[4](x + -3) (60 * 4glo + x * 4glo) = 3 + -1log[4](x + -3) (240glo + 4glox) = 3 + -1log[4](x + -3) Reorder the terms: 240glo + 4glox = 3 + -1glo * 4(-3 + x) Reorder the terms for easier multiplication: 240glo + 4glox = 3 + -1 * 4glo(-3 + x) Multiply -1 * 4 240glo + 4glox = 3 + -4glo(-3 + x) 240glo + 4glox = 3 + (-3 * -4glo + x * -4glo) 240glo + 4glox = 3 + (12glo + -4glox) Solving 240glo + 4glox = 3 + 12glo + -4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glo' to each side of the equation. 240glo + -12glo + 4glox = 3 + 12glo + -12glo + -4glox Combine like terms: 240glo + -12glo = 228glo 228glo + 4glox = 3 + 12glo + -12glo + -4glox Combine like terms: 12glo + -12glo = 0 228glo + 4glox = 3 + 0 + -4glox 228glo + 4glox = 3 + -4glox Add '4glox' to each side of the equation. 228glo + 4glox + 4glox = 3 + -4glox + 4glox Combine like terms: 4glox + 4glox = 8glox 228glo + 8glox = 3 + -4glox + 4glox Combine like terms: -4glox + 4glox = 0 228glo + 8glox = 3 + 0 228glo + 8glox = 3 Reorder the terms: -3 + 228glo + 8glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 228glo + 8glox = 0 The solution to this equation could not be determined.
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