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If y= 2^((1)/(log(x)4)) then prove that ...

If y= `2^((1)/(log_(x)4))` then prove that `x=y^(2)`.

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`2^((1)/(log_(x)4))`
`:." "y=2^(log_(4)x)" "rArry=2^((1)/(2)log_(2)x)`
`rArr y^(2) = 2^(log_(2)x)" "("as "y gt 0)`
` rArr y^(2) = x `
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CENGAGE ENGLISH-LOGARITHM AND ITS PROPERTIES-ILLUSTRATION 1.39
  1. If y= 2^((1)/(log(x)4)) then prove that x=y^(2).

    Text Solution

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