Logs- Open Middle Problem

Directions: Using the integers 1 to 9, fill in the red and blue boxes so that the chart is accurate.  You can only use a number once per red box and once per blue box.

Thank you to Megan Schmidt, @veganmathbeagle, for introducing me to this graphic from underground mathematics.

 

Challenge: How would your strategies change if log values had to fit within the interval [0, 1.6)