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The value of p in R for which the equati...

The value of p in R for which the equation sin^(-1)((log_(10)x)^(2)-2log_(10)x+2)+tan^(-1)((log_(10)x)^(2)-2log_(10)x+2)+cos^(-1)((log_(10)x)^(2)-2(log_(10)x))=p possess solution is

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((log_(10)x)/(2))^(log_(10)^(2)x+log_(10)x^(2)-2)=log_(10)sqrt(x)

(log_(10)x)^(2)+log_(10)x^(2)=(log_(10)2)^(2)-1

(log_(10)100x)^(2)+(log_(10)10x)^(2)+log_(10)x<=14

(x-2)^(log_(10)^(2)(x-2)+log_(10)(x-2)^(5)-12)=10^(2log_(10)(x-2))

log_(10)^(2) x + log_(10) x^(2) = log_(10)^(2) 2 - 1

The equation (log_(10)x+2)^(3)+(log_(10)x-1)^(3)=(2log_(10)x+1)3

Solve |x-1|^((log_(10)x)^(2)-log_(10)x^(2))=|x-1|^(3)

log_(10)x-(1)/(2)log_(10)(x-(1)/(2))=log_(10)(x+(1)/(2))-(1)/(2)log_(10)(x+(1)/(8))

Solve: |x-1|^((log_(10)x)^(2)-log_(10)x^(2))=|x-1|^(3)