NIMCET 2013 Question Paper with solutions

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Question : 27 of 120

Marks: +1, -0

If

log_x y

= 100 and

log_2 x

= 10 , then the value of y is

$2^{10}$
$2^{100}$
$2^{1000}$
$2^{10000}$

Solution:

Given,

\log_2x=10

⇒x=2^10

∴\log_{2^10}\;y=100

⇒y=(2^10)^100⇒y=2^1000

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