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Solve log(2)(4xx3^(x)-6)-log(2)(9^(x)-6)...

Solve `log_(2)(4xx3^(x)-6)-log_(2)(9^(x)-6)=1`.

Text Solution

Verified by Experts

`log_(2)(4xx3^(x)-6)-log_(2)(9^(x)-6)=1`
or `"log"_(2)(4xx3^(x)-6)/(9^(x)-6)=1`
or `"log"_(2)(4xx3^(x)-6)/(9^(x)-6)=2`
`or4y-6=2y^(2)-12" "("putting"3^(x)=y)`
`ory^(2)-2y-3=0`
`ory=-1,3`
`or3^(x)=3`
`orx=1`
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CENGAGE ENGLISH-LOGARITHM AND ITS PROPERTIES-ILLUSTRATION 1.47
  1. Solve log(2)(4xx3^(x)-6)-log(2)(9^(x)-6)=1.

    Text Solution

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