log xY = 100 and log2x = 10, then the value of y is
2025
log xY = 100 and log2x = 10, then the value of y is
- A.
2^1000
- B.
10000
- C.
20000
- D.
23000
Attempted by 2 students.
Show answer & explanation
Correct answer: A
Solution:
From log base 2 of x = 10, we have x = 2^10 = 1024.
From log base x of y = 100, we have y = x^100.
Substitute x = 2^10 into y = x^100 to get y = (2^10)^100 = 2^(10·100) = 2^1000.
Therefore, the value of y is 2^1000.