Least to greatest
3/4,5/8,3/7,1/3,2/5

1/3 < 2/5 < 3/7 < 5/8 < 3/4

Step-by-step explanation:

Using the given inputs:  

3/45/83/71/32/5

The least common denominator (LCD) is: 840.

Rewriting as equivalent fractions with the LCD:

3/4= 630/840

5/8= 525/840

3/7= 360/840

1/3= 280/840

2/5=  336/840  

Sorting this by the numerators of the equivalent fractions in order from least to greatest:

1/3= 280/840=       <2/5=  336/840=    <     3/7= 360/840=      <    5/8= 525/840=       <     3/4 = 630/840

Therefore, the sorted inputs in order from least to greatest is:

1/3 < 2/5 < 3/7 < 5/8 < 3/4

Hopes this helps!

Have a good evening! :)

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)