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Question

If x=log5(1000) and y=log7(2058) then


  1. x > y 

  2. x < y 

  3. x = 3 + log5 8

  4. None of these


Solution

The correct options are
A

x > y 


C

x = 3 + log5 8


x=log51000=3 log510=3+3 log52=3+log58y=log72058=log7(73.6)=3+log76As log58>log55log58>1x>4And log76<log77log76<1y<4x>y

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