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If log(4)(x+2y)+log(4)(x-2y)=1, then S...

If `log_(4)(x+2y)+log_(4)(x-2y)=1,` then
Statement-1: `(|x|-|y|)_(min)=sqrt(3)`
Statement-2: `AMgeGM`

A

1

B

2

C

3

D

4

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Knowledge Check

  • If log_(10)x^(2) -log_(10)sqrt(y) =1 , find the value of y, when x=2

    A
    `2//9`
    B
    `4//25`
    C
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    D
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  • If log_(e) (x^(4) y) = a and log_(e) (x^(2) y^(2)) = b, then log_(e) sqrt(y) in terms of a and b is

    A
    `(2 b + a)/(2 )`
    B
    `( 2 b - a)/(7)`
    C
    `(2 b - a)/(6)`
    D
    none of these

  • If log_(y)x +log_(x)y = 7 , then the value of (log_(y)x)^(2) +(log_(x)y)^(2) , is

    A
    43
    B
    45
    C
    47
    D
    49

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