4*3^x-9*2^x-5*3^(x/2)*2^(x/2)≥0/2^x
4*(3/2)^x-5*(3/2)^(x/2)-9≥0
(3/2)^(x/2)=a
4a²-5a-9≥0
D=25+144=169
a1=(5-13)/8=-1 U a2=(5+13)/8=9/4
+ _ +
------------------[-1]------------------[9/4]--------------------
a≤1⇒(3/2)^(x/2)≤1⇒x/2≤0⇒x≤0
a≥9/4⇒(3/2)^(x/2)≥9/4⇒x/2≥2⇒x≥4
x∈(-∞;0] U [4;∞)
1) 4x-5=8 2) 5x-2x+4=8
4x=8+5 3x=8-4
4x=13 3x=4
x=13:4 x=4:3
x=3,25 x=1,3
4*3,25-5=8 5*1,3-2*1,3+4=8
3) 7-3:4*16=16
4:4x=16
4x=16*4
4x=64
x=16
7-3:4*16=16
4:4*16=16
8(х+46)-72=328,
8х+368-72=328,
8х+296=328,
8х=328-296,
8х=32,
х=32:8,
х=4.
Ответ: 4
3/8 * 72 = 27
пусть искомое число = х
9/19*х = 27
х = 27 : 9/19
х = 27 *19/9
х = 57