Which is smaller 2 or `(log_pi 2+log_2 pi)`

Which is smaller? 2 or (log_(("e"-1))2+log_2(e-1))

Which one is greater: cos(log_(e)theta) or log_(e)(cos theta) if -(pi)/(2)

The domain of the function f(x) = log_(3/2) log_(1/2)log_pi log_(pi/4) x is

G i v e nint_0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of integral int_0^(pi/2)(sinx)/(1+sinx+cosx)dx is equal to (a) 1/2log2 (b) pi/2-log2 (c) pi/4-1/2log2 (d) pi/2+log2

Which one of the following is the smallest? (a) log_(10)pi(B)sqrt(log_(10)pi^(2))

Which of the following statement(s) is/are possible? 2sin^(2)theta=log_(e)pi+log_(pi)e

The value of the integral int_(0)^(pi)log(1+cosx)dx is a) (pi)/(2)log2 b) -pilog2 c) pi log2 d)None of these