-Log3(8)/Log3²(16)=-Log3(2³)/1/2Log3(2^4)=-3Log3(2)/1/2*4Log3(2)=-3/2=-1,5
Формула разности квадратов: a² - b² = (a - b)(a + b).
В нашем случае: (log₃4+log₂9)²-(log₃4-log₂9)² = ((log₃4 + log₂9) - (log₃4-log₂9))((log₃4+log₂9) + (log₃4-log₂9)) = (log₃4 + log₂9 - log₃4 + log₂9)(log₃4 + log₂9 + log₃4 - log₂9) = 2log₂9 * 2log₃4.
По свойству логарифма: logₐb * logₓc = logₓb * logₐc, xlogₐb = logₐbˣ.
log₂81 * log₃16 = log₃81 * log₂16 = 4 * 4 = 16.
Ответ: 16.
X^2+xy+11x+11y=x^2+11x+xy+11y=x(x+11)+y(x+11)=(x+y)(x+11)