Solve: `((1/2)^(log(10)a^2) +2>3/(2^((log)_(10)(-a))))`

Solve (x^(log_(10)3))^(2) - (3^(log_(10)x)) - 2 = 0 .

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

In a binomial distribution B(n , p=1/4) , if the probability of at least one success is greater than or equal to 9/(10) , then n is greater than (1) 1/((log)_(10)^4-(log)_(10)^3) (2) 1/((log)_(10)^4+(log)_(10)^3) (3) 9/((log)_(10)^4-(log)_(10)^3) (4) 4/((log)_(10)^4-(log)_(10)^3)

Solve: 1/4x^(log_2sqrt(x))=(2. x^((log)_2x))^(1/4)

Solve for: x :(2x)^((log)_b2)=(3x)^((log)_b3) .

Which of the following pairs of expression are defined for the same set of values of x ? f_1(x)=2(log)_2xa n df_2(x)=(log)_(10)x^2 f_1(x)=(log)_xx^2a n df_2(x)=2 f_1(x)=(log)_(10)(x-2)+(log)_(10)(x-3)a n df_(2(x))=(log)_(10)(x-2)(x-3)dot

Solve : (log)_(0. 3)(x^2-x+1)>0

Solve (log)_(2x)2+(log)_4 2x=-3//2.

Solve : (log)_2(x-1)/(x-2)>0