Log(2)x/log(2)8+log(2)x/log(2)√2=14
log(2)x/3+log(2)x/0,5=14
log(2)x/3+2log(2)x=14
log(2)x+6log(2)x=42
7log(2)x=42
log(2)x=42:7=6
x=2^6
x=64
Ответ х=64
log(3)x=a
a²-2a-3≤0
a1+a2=2 U a1*a2=-3⇒a=3 U a2=-1
+ _ +
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-1 3
-1≤a≤3
-1≤log(3)x≤3
1/3≤x≤27
x∈[1/3;27]
a) (18,1+18,5+18,5+18,6+18,3):5=18,4
b) 18,1-18,4=-0,3 | 0,09
18,5-18,4=0,1 | 0,01
18,5-18,4=0,1 | 0,01
18,6-18,4=0,2 | 0,04
18,3-18,4=0,1 | 0,01
c) √0,032=0,17 - стандарт. отклонение
d) Не нуждается
1) sin^4α+cos²α+sin²αcos²α=sin^4α+sin²αcos²α+cos²α=sin²α(sin²α+cos²α)+cos²α=sin²α+cos²α=1;
2) sin^4α-cos^4α-sin²α+cos²α=(sin²α-cos²α)(sin²α+cos²α)-sin²α+cos²α=sin²α-cos²α-sin²α+cos²α=0;
3) cos²α/(1-sin²α)=cos²α/cos²α=1;
4) (1-2sin²α)/(2cos²α-1)=(sin²α+cos²α-2sin²α)/(2cos²α-sin²α-cos²α)=(cos²α-sin²α)/(cos²α-sin²α)=1.