помогитее!!!!!! Срочно!. Created by shchipakinas. algebra-ru

помогитее!!!!!! Срочно!...

shchipakinas @shchipakinas

July 2022 1 6 Report

помогитее!!!!!!
Срочно!

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oganesbagoyan

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1.
cosx = π/3 ;
не имеет решения , т.к.  π/3 ≈3,14 / 3 > 1 * * * -1 ≤ cosx ≤ 1 * * *
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2.
(1/2) ^x   ≥ 1/16
(1/2) ^x   ≥ (1/2)⁴ * * *    0 <1/2 <1 * * *
x ≤ 4 или иначе x ∈ ( -∞ ; 4 ].
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3.
16 ^ (Log(4) 5 =(4²) ^ (Log(4) 5 = 4 ^ (2Log(4) 5 = 4 ^ (Log(4) 5²) =
4^(Log(4) 25 =25.
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4.
(a) ^(3/4 ) *(a)^(1/2) ) = (a) ^(3/4 +1/2) = (a) ^(5/4) .
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5.
Loq(0,5) (3x-2) = -2 ;
Loq(1/2) (3x-2) = Loq(1/2) (1/2)⁻²
3x-2 =  (1/2)⁻²  ; * * * (1/2)⁻² = (2⁻¹)⁻² =2² =4 или (1/2)⁻² =1 / (1/2)² =1/(1/4) =4 *
3x -2 =4 ;
3x -2 =4 ;3x =6 ;
x = 2.

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