How would I simplify this?
8/13 ln 3 = ln h/12

Step-by-step explanation:

I'll assume that you meant

(8/13) ln 3 = ln h/12

Applying rules of logs, we get:

(8/13) ln 3 = ln h - ln 12

                = ln h - ln 3 - ln 4         <=  because ln b*c = ln b + ln c

Then (8/13) ln 3 + ln 3 = ln h - ln 4, or

(21/13) ln 3 + ln 4 = ln h  

3^(21/13) * 4 = h                 <=  because ln b*c = ln b + ln c