Final answer:
The expression 5 log(x) 2 log(x) 4 can be simplified to 13 log(x).
Step-by-step explanation:
The expression 5 log(x) 2 log(x) 4 can be simplified using the properties of logarithms. According to the property
, we can rewrite the expression as follows:

Next, we can apply the property
to simplify further:
5 log(x) + 8 log(x)
Combining the terms, we get:
(5+8) log(x)
The simplified expression is 13 log(x).