log_(0.5)(x+5)^(2)>log_(1/2)(3x-1)^(2)

Solve the following inequalities : log_(0.5)(x+5)^2gt log_(1//2)(3x-1)^2

Find the number of integers which do not satisfy the inequality log_((1)/(2))(x+5)^(2)>log_((1)/(2))(3x-1)^(2)

(log_(2)(x-1))^(2)-log_(0.5)(x-1)>2

The domain of definition of f(x)=log_(0.5){-log_(2)((3x-1)/(3x+2))} , is

The domain of definition of f(x)=log_(0.5){-log_(2)((3x-1)/(3x+2))} , is

Consider the inequalities log_(5)(x-3)+(1)/(2)log_(5)3<(1)/(2)log_(5)(2x^(2)-6x+7) and log_(3)x+log_(sqrt(3))x+log_((1)/(3))x<6

Find the value of (i) (log_(10)5)(log_(10)20)+(log_(10)2)^(2) (ii) root3(5^((1)/(log_(7)5))+(1)/((-log_(10)0.1))) (iii) log_(0.75)log_(2)sqrtsqrt((1)/(0.125)) (iv)5^(log_(sqrt(5))2)+9^(log_(3)7)-8^(log_(2)5) (v)((1)/(49))^(1+log_(7)2)+5^(-log_(1//5)7) (vi) 7^(log_(3)5)+3^(log_(5)7)-5^(log_(3)7)-7^(log_(5)3)

If log_(0.5)log_(5)(x^(2)-4)>log_(0.5)1, then' x' lies in the interval