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`

Suppose that a and b are positive real numbers such that log_(27)a+log_9(b)=7/2 and log_(27)b+log_9a=2/3 .Then the value of the ab equals

If ("lim")_(xvecoo){(x^2+1)/(x+1)-(a x+b)}=0, then find the value of aa n dbdot

If ("lim")_(xvec0)(a e^x-b)/x = 2 , then find the value of aa n dbdot

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

The x , y , z are positive real numbers such that (log)_(2x)z=3,(log)_(5y)z=6,a n d(log)_(x y)z=2/3, then the value of (1/(2z)) is ............

Let a , b , c , d be positive integers such that (log)_a b=3/2a n d(log)_c d=5/4dot If (a-c)=9, then find the value of (b-d)dot

If x and y are positive real numbers such that 2log(2y - 3x) = log x + log y," then find the value of " x/y .

If (log)_2(a+b)+(log)_2(c+d)geq4. Then find the minimum value of the expression a+b+c+d

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

If log_e((a+b)/2)=1/2(log_e a+log_e b), then find the relation between a a n d b dot