Calculus II: How to solve 2 ln x + 1/9 (8 ln x) ....

2 ln x + 1/9 (8 ln x)

This comes out to be

26/9 ln x

and I am trying to understand the methodology to arrive at that. Help please???

This is no where near calculus II material. This is basic algebra you're stuck with.

Factor out the constants, is all you need to do.

Given:
2 ln x + 1/9 (8 ln x)

2lnx + 8/9lnx

Find the common denominator which is 9 and multiply:
18/9lnx + 8/9lnx

Factor out the lnx and you get:
lnx(26/9)

Final Answer:
(26/9)lnx