Determine the domain of 𝑓(𝑥)=log(subscribe ) 3 (4−5𝑥)

Question

Only the 3 is the subscribt, please help me solving this

Answer 1

f(x) = log₃(4-5x)

We can only find logs of positive numbers. So, 4 - 5x > 0.

-5x > -4

x < 4/5

Domain = (-∞, 4/5)