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23.02.2021 •
Mathematics
X = {0, 1,3}
Y = {2,4,5)
Which of the following is the set X \Y?
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Ответ:
Given that:
27^y = 9/3^y
⇛27^y × 3^y = 9
⇛(3^3)^y × 3^y = 9
⇛3^3y × 3^y = 9 [°.° (a^m)^n = a^mn]
⇛3^(3y+y) = 9 [°.° a^m×a^n = a^m+n]
⇛3^(4y) = 9
⇛3^(4y) = 3^2 [Bases equal ⇛exponents to equal]
.°. 4y = 2
y = 2:4 = 1/2
Hence, the value of y is 1/2.