log_(3/4)log_(8)(x^(2)+7)+log_(1/2)log_(1/4)(x^(2)+7)^(-1)=-2

Solve the following equations : (i) log_(x)(4x-3)=2 (ii) log_2(x-1)+log_(2)(x-3)=3 (iii) log_(2)(log_(8)(x^(2)-1))=0 (iv) 4^(log_(2)x)-2x-3=0

Solve the following equations : (i) log_(x)(4x-3)=2 (ii) log_2)(x-1)+log_(2)(x-3)=3 (iii) log_(2)(log_(8)(x^(2)-1))=0 (iv) 4^(log_(2)x)-2x-3=0

log_(4)(x^(2)-1)-log_(4)(x-1)^(2)=log_(4)sqrt((4-x)^(2))

If log_(2)(x^(2)+1)+log_(13)(x^(2)+1)=log_(2)(x^(2)+1)log_(13)(x^(2)+1)*(x!=0) then log_(7)(x^(2)+24) is equal to

(log_(4)x-2)*log_(4)x=(3)/(2)(log_(4)x-1)

If xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1 , then x equals

If xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1 , then x equals

If xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1 , then x equals

log_(2)(4^(x)+4)=log_(2)2^(x)+log_(2)(2^(x+1)-3)