Question

Хоть что-нибудь
СРОЧНО
ПОМОГИТЕ

Answer 1

1. (27^(2/5) * 2^(1/5)*2)^(5/6) = (27^(2/5) * 2^(6/5))^(5/6) = ((3^6)^(2/5)* 2^(6/5))^(5/6) = 3^(12/5 * 5/6) * 2^(6/5 * 5/6) = 3^2 * 2 = 9 * 2 = 18

2. 
2^(2x) - 3 * 2^(x+1) + 8 = 0
2^(2x) - 6 * 2^(x) + 8 = 0
пусть 2^x = t, t > 0
t^2 - 6t + 8 = 0
D = 36-4*1*8 = 4
t1 = (6+2)/2 = 4
t2 = 4/2 = 2
2^x = 4
x1 = 2
2^x = 2
x2 = 1

3. sqrt4 (625 * 0.0016) = sqrt4 (5^4 * 0.2^4) = 5 * 0.2 = 1

5. sqrt (5-2x) - 1 = -x
ОДЗ:
{5-2x >=0
{1-x >=0

{-2x >= -5
{-x >= -1

{x <= 2.5
{x<= 1

x<=1

sqrt (5-2x)  = 1-x
5 - 2x = 1 -2x + x^2
x^2 = 4
x1 = 2 - не удовл. ОДЗ
x2 = -2

6. log 0.1 (x-3) <= 2
ОДЗ: x-3 >0
x > 3
log 0.1 (x-3) <= log 0.1 0.1^3
x - 3 > = 0.001
x >= 3.001

{x > 3
{x >= 3.001

x >= 3.001

Answer 2

Спасибо добрый человек!!!!