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Solve: (log)2(4x3^x-6)-(log)2(9^x-6)=1....

Solve: `(log)_2(4x3^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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