The least value of the expression `2(log)_(10)x-(log)_x(0.01)dot` for `x >1` is (a)`10` (b)` 2` (c) `-0. 01` (d)` 4`

Determine the value of the following. log_(10).0.01

The value of lim_(xto 0)(log(1+2x))/(x) is equal to

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

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

The number of roots of the equation (log)_(3sqrt("x"))x+(log)_(3x)sqrt(x)=0 is 1 (b) 2 (c) 3 (d) 0

Solve log(-x)=2log(x+1)dot

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

The solution set of the inequality (log)_(10)(x^2-16)lt=(log)_(10)(4x-11) is 4,oo) (b) (4,5) (c) ((11)/4,oo) (d) ((11)/4,5)

Solution set of the inequality (log)_(0. 8)((log)_6(x^2+x)/(x+4))<0 is )

The value of x in the expression (x+x^((log)_(10)x))^5 if third term in the expansion is 10,00,000 is/are a. 10 b. 100 c. 10^(-5//2) d. 10^(-3//2)