If log<sub>x</sub> y = 100 and log<sub>2</sub> x = 10, find y.
Aptitude
Logarithm
Difficulty: Medium
Choose an option
-
A2^{10}
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B2^{100}
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C2^{1000}
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D10^{200}
Answer
Correct Answer: 2^{1000}
Explanation
Concept / Approach
- From log2x = 10 ⇒ x = 210.
- From logxy = 100 ⇒ y = x100.
Step-by-step calculationx = 210 = 1024y = x100 = (210)100 = 21000Therefore, y = 21000
Checklogxy = log21021000 = 1000/10 = 100 ✔