Let a=(log)3(log)3 2. An integer k satis...

Let `a=(log)_3(log)_3 2.` An integer `k` satisfying `1<2^(-k+3^((-a)))<2,` must be less than ..........

Verified by Experts

The correct Answer is:

1

Similar Questions

Explore conceptually related problems

Find the sum of all integers satisfying the inequalities log_(5)(x-3)+1/2log_(5)3lt1/2log_(5)(2x^(2)-6x+7) and log_(3)x+log_(sqrt3)x+log_(1/3)xlt6

The number of positive integers satisfying x+(log)_(10)(2^x+1)=x(log)_(10)5+(log)_(10)6 is...........

Number of integers satisfying the inequality log_((1)/(2))|x-3|>-1 is...

Number of integers <=10 satisfying the inequality 2log_((1)/(2))(x-1)<=(1)/(3)-(1)/(log_(x^(2)-x)) is

Number of integers satisfying the inequality log_(1//2)|x-3| gt -1 is ________.

If x satisfies log_(3)(2x+1) < log_(3)5 ,then the solution set contains the interval(s)

Let k be the unique positive value satisfying the equation (4k)^(log2)(9k)^(log3)=0, then find the value of (72k).

Number of integers satisfying 2^(log_(2)(x-3)<4) is

Number of integers <=10 satisfying the inequality 2log_((1)/(2))(x-1)<=(1)/(3)-(1)/(log_(x)2-x^(8)) is........