NIMCET 2012 Question Paper with solutions

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Question : 44 of 120

Marks: +1, -0

If x =

log_3

5 , y =

log_{17}

25 , then which one of the following is correct?

x > y
x < y
x ≤ y
x = y

Solution:

Given,
x =

log_3

5 , y =

log_{17}

25
x =

{log 10-log2}/{log3}

, y =

{2log10-2log2}/{log17}

x =

{0.6990}/{0.4771}

, y =

{1.3980}/{1.2296}

⇒ x = 1.465 , y = 1.136 (∴ x > y)

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