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Question

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

A
x>y
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B
x<y
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C
x=y
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D
None
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Solution

The correct option is A x>y
x=log5(1000)=log5(53.8)=3+log5 8>3+1=4
y=log7(2058)=log7(73.6)=3+log7 6>3+1=4
since x>4 and y<4 x>y

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