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If log(sqrtx)0.25=4 then the value of x ...

If `log_(sqrtx)0.25=4` then the value of x is ………

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`log_10sinx+log_10cosx = -1`
`=>log_10 sinxcosx = -1`
`=>sinxcosx = 1/10`
Now, `sinx+cosx = sqrt((sinx+cosx)^2)`
`=sqrt(sin^2x+cos^2x+2sinxcosx)`
`=sqrt(1+2(1/10)`
`=sqrt(6/5)`
`:. sinx+cosx = sqrt(6/5)`
...
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