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 true? (a) log _(10)2 lies between (1)/(4) and (1)/(3) (b) log_(csc(pi/6))(cos backslash(pi)/(3))=-1( c) e^(ln(ln3)) is smaller than 1(d)log_(10)1+(1)/(2)log_(10)3+log_(10)(2+sqrt(3))=log_(10)(1+sqrt(3)+(2+sqrt(3)))

Which one of the following number is largest in value? (A) tan((5 pi)/(4))(B)sin^(2)((5 pi)/(4))(C)log_(2)((5 pi)/(4))(D)ln((5 pi)/(4))

Which of the following, when simplified, reduces to unity? (log)_(10)5dot(log)_(10)20+((log)_(10)2)^2 . (c) -(log)_5(log)_3sqrt(5sqrt(9)) 1/6(log)_((sqrt(3))/2)((64)/(27))

If log_2 10=P ;(log_e 10)/(log_e7)=q and (11)^r= 10 , then which one of the following expressions is equivalent to log_(10) 154 ?

If log_2 10=P ;(log_e 10)/(log_e7)=q and (11)^r= 10 , then which one of the following expressions is equivalent to log_(10) 154 ?

Find the domain of the following functions : f(x)=sqrt(log_10((log_10x)/(2(3-log_10x)))

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

If log_(2)10=P;(log_(e)10)/(log_(e)7)=q and (11)^(r)=10 then which one of the following expressions is equivalent to log _(10)154 ?

log_10⁡ a + log_10 ⁡b = log_10⁡ (a+b)

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