For the function f (x) = log5 3x-10 explain why x=2 is not in the domain

Step-by-step explanation:

The simple answer is that logs cannot be negative and if you insert a 2 where the x is located you get a negative. Logs have to be > = 0

[text]log_5 (3x-10) = log_5 (-4) [tex]

It all has to do with logs being tied to exponents and exponents being tied to logs. Actually an inverse of an exponent is a log.