If ${log}_{x} y = 100 a n d {log}_{2} x = 10$ then the value of y is

2^{1000}

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2^{100}

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2^{2000}

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2^{10000}

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Solution

The correct option is C $2^{1000}$
$∵ l o g_{2} x = 10$
$∴ x = 2^{10}$
Also, $l o g_{x} y = 100$
$∴ y = x^{100}$
Now, put the value of x then
$y = 2^{1000}$

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