1) 9 1/2 / 1,9 = 9,5 / 1,9 = 5
2) 5 - 4 1/5 = 4 5/5 - 4 1/5 = 4/5
3) 2,32 * 15/29 = 2 8/25 * 15/29 = 6/5 = 1 1/5
4) 1 1/5 + 4/5 = 1 5/5 = 2
5) 6 + 7 1/2 = 13 1/2
6) 13 1/2 / 15 = 27/2 / 15/1 = 27/2 * 1/15 = 3/10
7) 1 7/15 + 1/3 = 1 7/15 + 5/15 = 1 12/15 = 1 4/5
8) 1 4/5 * 5 = 9/5 * 5 = 9/1 = 9
9) <span>4/5 / 2 = 4/5 / 2/1 = 4/5 * 1/2 = 2/5
</span>10) 3/10 / 9 = 3/10 / 9/1 = 3/10 * 1/9 = 1/30
11) 2/5 + 1/30 = 12/30 + 1/30 = 13/30
Ответ : 13/30
lg(100x)=log10(100)+log10(x)=2+log10(x).
Lg(0,01x)=log10(0,01)+log10(x)=log10(x)-2.
Совместим решение:
(2+log10(x))*(log10(x)-2)=5.
Сделаем замену log10(x)=y
(2+y)(y-2)=5
y^2=9
y=+/-3.
Log10(x)=3
x=10^3=1000.
Log10(x)=-3
x=10^-3=1/1000.