Show that: `log_10 2` lies between `1/3 and 1/4`

Prove that log_(10) 2" lies between " 1/4 and 1/3 .

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)))

Express ((1)/(2)+(3)/(4)) div 2 as a rational number and show that it lies between (1)/(2) and (3)/(4) .

Show that log_(300)4 lies in the interval (1/5, 1/4) .

The pair of rational numbers that lies between ( 1)/( 4) and ( 3)/(4) is

The pair of rational numbers that lies between (1)/(4) and (3)/(4) is?

Show that (sec^(2)theta-tan theta)/(sec^(2)theta+tan theta) lies between (1)/(3) and 3.

Show that: (sec^(2)theta-tan theta)/(sec^(2)theta+tan theta) lies between 3 and (1)/(3)

Which of the following are correct? a.(log)_3 19.(log)_(1//7)3.(log)_4 1/7>2 b. (log)_5(1//23) lies between -2&-1 c. If m=4^((log)_4 7)a n d n=(1/9)^(-(log)_3 7)t h e n n=m^4 d. (log)_(sqrt(5))sin(pi/5)dot(log)_(sqrt(sin"pi"/5))5 simplifies to an irrational number