Question

Express the following in terms of log 2 and log 3:

log 13.5

Answer 1

Given: log 13.5

Step-wise calculation:

1. `13.5 = 27/2`

2. log 13.5

= `log (27/2)` 

= log 27 – log 2

3. log 27

= log (3³)

= 3 log 3

log 13.5 = 3 log 3 – log 2