2023
Mathematics
67ca00ce0c643c71d77dee1f
Find the value of y if 402y =102ten
A.
4
B.
2
C.
5
D.
3
Correct Answer: 5
Explanation
402y =102ten ⇒ 4 x y2 + 0 x y1 + 2 x y0 = 102 ⇒ 4y2 + 0 + 2 x 1 = 102 ⇒ 4y2 + 2 = 102 ⇒ 4y2 = 102 - 2 ⇒ 4y2 = 100 ⇒ y2=100/4 ⇒ y2 = 25 ∴ y = √25 = 5
402y =102ten ⇒ 4 x y2 + 0 x y1 + 2 x y0 = 102 ⇒ 4y2 + 0 + 2 x 1 = 102 ⇒ 4y2 + 2 = 102 ⇒ 4y2 = 102 - 2 ⇒ 4y2 = 100 ⇒ y2=100/4 ⇒ y2 = 25 ∴ y = √25 = 5THIS WEEK's
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