For `0ltaltx ,` the minimum value of function `log_a"" x+log_x a` is `2.`

The minimum value of (x)/( log x) is

If 0 le a le x , then the minimum value of "log"_(a) x + "log"_(x) x is

For x > 1 , the minimum value of 2 log_10(x)-log_x(0.01) is

The maximum value of the function of (log_(e) x)/(x) in 0 lt x lt oo is at

Find the maximum value of the function (log x)/x " when "x gt 0 .

If a > 1, b > 1, then the minimum value of log_b a + log_a b is

The value of x, log_(1/2)x >= log_(1/3)x is

If x_(n)gt1 for all n in N , then the minimum value of the expression log_(x_(2))x_(1)+log_(x_(3))x_(2)+...+log_(x_(n))x_(n-1)+log_(x_(1))x_(n) is

If log_y x +log_x y=7, then the value of (log_y x)^2+(log_x y)^2, is

What is the real value of x in the eqaution, log_2 80- log_2 5 = log_3 x ?