Решите неравенство. (Log 0,5 x)^2 - 3log 0,5 x

July 2022 2 6 Report

Решите неравенство. (Log 0,5 x)^2 - 3log 0,5 x - 4 <= 0

tamarabernukho (Log (0.5, x))^2 - 3log( 0.5, x )- 4 <= 0
D=9+16=25
1) log(0.5,x)=(3+5)/2=4
2) log(0.5,x)=(3-5)/2=-1

(log(0.5,x)-4)(log(0.5,x)+1)<=0
(x-(0.5)^4)(x-(0.5)^(-1))<=0
(x-0.0625)(x-2)<=0

ОТВЕТ : x∈[0.0625;2]

0 votes Thanks 0

sedinalana (log(0,5)x)²-3log(0,50x-4≤0
ОДЗ
x>0
x∈(0;∞)
log(0,5)x=t
t²-3t-4≤0
t1+t2=3 U t1*t2=-4
t1=-1 U 2=4
+ _ +
--------[-1]------------[4]--------------
-1≤t≤4
-1≤log(0,5)≤4
0,0625≤x≤2
x∈[0,0625;2]

0 votes Thanks 1

Answers & Comments

v teorii rynka ekonomista 19 veka adama smita vedushej yavlyaetsya sleduyushaya emociya

chem otlichayutsya rastitelnaya kletka ot zhivotnojotvet obosnujte

vypishite iz privedennogo otryvka slovo soderzhashee svyazannyj korenpribavlyu vmest

vypishite iz stihotvoreniya slovo kotoroe v sovremennom russkom yazyke izmenilo sv

pit poit est kormit prodolzhite klast stoyat tonut sidet

ukazhite slovo kotoroe po rodovoj prinadlezhnosti otlichaetsya ot drugih sandali tuf

v oblasti kakogo ponyatiya lezhit otvet na vopros pochemu nelzya kormit trollej kom

sintaksis predlozheniya chto tebe ponadobilos

рекомендуемые вопросы

Helpful Links

Helpful Social