Given `aa n db` are positive numbers satisfying `4(log_(10)a)^2+((log)_2b)^2=1.` Find the range of values of `aa n dbdot`

Find the value of x satisfying (log_(10)(2^(x)+x-41)=x(1-log_(10)5)

Find the number of values of x satisfying 2(log_(2)x)^(2)+(1-sqrt(2))log_(2)x^(2)=2sqrt(2)

If log_(b) n = 2 and log_(n) 2b = 2 , then find the value of b.

Positive integers 'a' and 'b' satisfy the condition log_2(log_(2^n) (log_(2^b) (2^100)))=0 Find the sum of all possible values of 'a'

Positive numbers x,y and z satisfy xyz=10^(81) and (log_(10)x)(log_(10)yz)+(log_(10)y)(log_(10)z)=468. Find the value of (log_(10)x)^(2)+(log_(10)y)^(2)+(log_(10)z)^(2)

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

If N is the sum of the magnitude of the values of x satisfying 2^(log_(2)x^(2))-3x-4=0 ,then the value of (1)/(N)

Find the number of positive integers not satisfying the inequality log_(2)(4^(x)-2.2^(x)+17)>5

If log_(b)n=2 and log_(n)(2b)=2 , then nb=