B1.
= |a-5| + |a-7| = a - 5 + 7 - a = 2
Ответ: 2
B3
y' = 8 - 8(x+12)⁷/(x+12)⁸ = 8 - 8/(x+12) = 0
1/(x+12) = 1
x+12 = 1
x = -11
y(-11,5) = -92 - ln((0,5)⁸) =-92 + 8ln2 ≈ -86,45
y(-11) = -88 - наименьшее
y(0) = -ln12⁸ ≈ -19,88
Ответ: -88
B4
0;x\neq 1\\ log_2x=y\\ x=2^y\\\\ 3^y+2*2^{y*log_23}\leq 3*2^{ylog_{2^y}9}\\ 3^y+2*(2^{log_23}^y})\leq 3*2^{log_29}\\ 3^y+2*3^y\leq 3*9\\ 3^{y+1}\leq 3^3\\ y+1\leq 3\\ y\leq 2\\ log_2x\leq 2\\ x\leq 4 " alt=" ODZ: x>0;x\neq 1\\ log_2x=y\\ x=2^y\\\\ 3^y+2*2^{y*log_23}\leq 3*2^{ylog_{2^y}9}\\ 3^y+2*(2^{log_23}^y})\leq 3*2^{log_29}\\ 3^y+2*3^y\leq 3*9\\ 3^{y+1}\leq 3^3\\ y+1\leq 3\\ y\leq 2\\ log_2x\leq 2\\ x\leq 4 " align="absmiddle" class="latex-formula">
x∈(0;1) U (1; 4]
целые 2, 3, 4
Ответ: 3