Log₁/₂16=-log₂2⁴=-4*log₂2=-4.
5^(1+log₅3)=5*5^log₅3=5*3=15.
log₃135-log₃20+2*log₃6=log₃(135/20)+log₃6²=log₃(27*36/4)=log₃243=log₃3⁵=5.
Вроде так,проверь еще сам.
Произведения степеней и простых чисел 4444=2*2*11=2^2*11
1) а-b+2c(a-b) = a-b+2ca-2cb = a(1+2c)-b(1+2c) =
(a-b)(1+2c)
2) by-3b+2cy+6c = b(y-3)+2c(y+3) = (b+2c)(y²-9)
3) kl-5l-k+5 = k(l-1)-5(l-1) = (k-5)(l-1)
4) 3ab-2ac+4cd-6bd = 3b(a-2d)-2c(a-2d) = (3b-2c)(a-2d)
5) y²-2by+6b-3y = y(y-3)-2b(y-3) = (y-2b)(y-3)