Logarithms Practice Test 1

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Question : 11 of 40

Marks: +1, -0

If

\log_x y = 100

and

\log_2x = 10

, then find the value of y.

$2^100$
$2^1000$
$2^10000$
$2^100000$

Solution:

Here,

\log_2 x = 10

∴ x = 210

Now,

\log _x y = 100

⇒ y = x^100 = (2^10)^100

= 2^1000

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