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Solve (log)4 8+(log)(4(x+3))-(log)4(x-1=...

Solve `(log)_4 8+(log)_(4(x+3))-(log)_4(x-1=2.`

Text Solution

Verified by Experts

`log_(4)^(8)+log_(4)(x+3)-log_(4)(x-1)=2`
`or"log"_(4) (8(x+3))/(x-1)=2`
or `(8(x+3))/(x-1)=4^(2)`
`orx+3=2x-2`
`rArr" "x=5`
Also for x=5 all terms of the equation are defined.
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