Suppose, `f(x, n) = sum_(k=1)^n log_x(k/x)` , then the value ofx satisfying the equation `f(x, 10)= f(x, 11)`, is

Let f(x,k)=sum_(n=1)^(k)log_(x)((n)/(x)), then value of ? which is satisfying the equation f(x,2017)=f(x,2018) is

f(x) = log((1+x)/(1-x)) satisfies the equation: f(x_(1)) +f(x_(2))

The natural number a for which sum_(k=1)^(n)f(a+k)=2n(33+n) where the function f satisfies the relation f(x+y)=f(x)+f(y) for all the natural numbers x,y and further f(1)=4 is

Find the natural number a for which sum_(k=1) ^(n)f(a+k)= 16(2^(n)-1) where the function f satisfies the relation f(x+y)=f(x)f(y) for all natural numbers x,y and further f(1)=2 .

Find the natural number a for which sum_(k=1)^(n)f(a+k)=16(2^(n)-1), where the function f satisfies the relation f(x+y)=f(x)f(y) for all natural number x,y and,further,f(1)=2.

Suppose f(x) = x(x+3)(x-2), x in [-1, 4] . Then a value of c in (-1, 4) satisfying f'(c ) = 10 is

The value of natural number 'a' for which sum_(k=1)^(n)f(a+k)=16(2^(n)-1) , where the function satisfies the relation f(x+y)=f(x).f(y) for all natural numbers x, y and further f(1)=2 is

The natural number a for which sum_(k=1)^(n)f(a+k)=16(2^(n)-1) where the function f satisfies the relation f(x+y)=f(x)*f(y) for all natural numbers x,y and further f(1)=2 is

Find the natural number a for which sum_(k=1)^(n)f(a+k)=16(2^(n)-1) where the function f satisfies the relation f(x+y)=f(x).f(y) for all natural numbers and also f(1)=2