`log_2(x+1)-log_2(3x-1)=2`

The sum of all the roots of the equation log_(2)(x-1)+log_(2)(x+2)-log_(2)(3x-1)=log_(2)4

The sum of all the roots of the equation log_(2)(x-1)+log_(2)(x+2)-log_(2)(3x-1)=log_(2)4

Solve: log_(2)(x+1)-log_(2)(2-x)=3 1. 2/3 2. 3/7 3. 1/2 4. 5/3

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

Find no. of solutions log_2(x-3)=log_4(x-1)

Prove that 2 log x-log (x +1)-log (x -1)= 1/x^2+1/(2x^4)+1/(3x^6) +......, where |x|<1.

Number of real values of x satisfying the equation log_2(x^2-x)*log_2((x-1)/x)+(log_2x)^2=4 ,is (a) 0 (b) 2 (c) 3 (d) 7

Number of real values of x satisfying the equation log_2(x^2-x)*log_2((x-1)/x)+(log_2x)^2=4 ,is (a) 0 (b) 2 (c) 3 (d) 7