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Solve the equationi log((x^(2)-1))(x^(3)...

Solve the equationi `log_((x^(2)-1))(x^(3)+6)=log_((x^(2)-1))(2x^(2)+5x)`

Text Solution

Verified by Experts

This equation is equivalent to the system
`{(2x^(2)+5xgt0),(x^(2)-1gt0),(x^(2)-1!=1),(x^(3)+6=2x^(2)+5x):}`impliesP(xlt-5/2` "and" xgt0),(xlt-1 "and "xgt1),(x!=+-sqrt(2)),(x=-2,1,3):}`
Hence `x_(1)=3` is only root of the original equation.`
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