If x y=100 and 2 x=10, then the value of y is

ABC26GN2031 · Logarithms

Subject: General Aptitude · Chapter: Logarithms · Exam: · Marks: · Difficulty:

If $\log _{x} y=100$ and $\log _{2} x=10$, then the value of $y$ is

(a)$2^{10}$

(b)$2^{100}$

(c)$2^{1000}$

(d)$2^{10000}$

Answer

Answer (as printed): C

Explanation

$\log _{2} x=10 \Rightarrow x=2^{10}$. $\therefore \log _{x} y=100 \Rightarrow y=x^{100}=\left(2^{10}\right)^{100} \Rightarrow y=2^{1000}$.

Explanation as extracted from the printed page; notation may be imperfect.