Question

How do you use the properties of logarithms to expand `log_4 (5x)`?

Answer 1

`log_4 (5x) =1.16+log_4 x`

Explanation:

`log_4 (5x) = log_4 5 +log_4 x= log5/log4 + log_4 x`

`= 1.16(2dp)+log_4 x`

Properties used are :
`log_a (xy) = log x + log y and log_a x = log_10 x/log_10 a` 

`log_4 (5x) =1.16+log_4 x` [Ans]