[2^{1000}] If \log{x}{y}=100\: and \: \log{2}{x}=10,then the value of y is

For Competitive Exams

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

$2^{10}$

$2^{100}$

$2^{1000}$

$2^{10000}$

Explanation:

$\log{2}{x}$=10=>x=$2^{10}$
therefore,$\log{x}{y}$=100
=>y=$x^{100}$
=>y=$(2^{10})^{100}$
=>y=$2^{1000}$

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