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avilika
@avilika
August 2021
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Помогите решить номера b5 и b6!!!!!!
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oganesbagoyan
Verified answer
Task/25246070
--------------------
B5.
Log(2) (1-3x) ≤ 4 ⇔ 0< 1-3x ≤ 2⁴ ⇔ -1 < -3x ≤ 15 ⇔ -5 ≤ x < 1/3 .
целые решения {-5 ; -4 ; -3 ; -2 ; -1 ; 0 }
(-5) +( -4) +( -3) +(-2)+( -1) +0 =
-15 .
---------------------------
B6.
Log(2) ² x - Log(2) x ≤ 6 ⇔Log(2) ² x - Log(2) x - 6 ≤ 0 ⇔
( Log(2) x +2) *( Log(2) x -3) ≤ 0 ⇔ -2≤ Log(2) x ≤ 3 ⇔
2⁻² ≤ x ≤ 2³ ⇔ 1/4 ≤ x ≤ 8 восемь целых решений
* * * { 1; 2 ; 3 ;4 ;5 ;6 ;7 ; 8} * * *
------------------
удачи!
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Answers & Comments
Verified answer
Task/25246070--------------------
B5.
Log(2) (1-3x) ≤ 4 ⇔ 0< 1-3x ≤ 2⁴ ⇔ -1 < -3x ≤ 15 ⇔ -5 ≤ x < 1/3 .
целые решения {-5 ; -4 ; -3 ; -2 ; -1 ; 0 }
(-5) +( -4) +( -3) +(-2)+( -1) +0 = -15 .
---------------------------
B6.
Log(2) ² x - Log(2) x ≤ 6 ⇔Log(2) ² x - Log(2) x - 6 ≤ 0 ⇔
( Log(2) x +2) *( Log(2) x -3) ≤ 0 ⇔ -2≤ Log(2) x ≤ 3 ⇔
2⁻² ≤ x ≤ 2³ ⇔ 1/4 ≤ x ≤ 8 восемь целых решений
* * * { 1; 2 ; 3 ;4 ;5 ;6 ;7 ; 8} * * *
------------------
удачи!