## mar1e0721 2 years ago find the domain and range of each function f(x)=log3x D:_________ R:_________ V.A_________ (V.A stand for vertical asymptote)

1. helder_edwin

any type of logarithm works only for positive numbers so $\large 3x>0\Rightarrow x>0/3=0$ so the domain is $$(0,+\infty)$$

2. tcarroll010

For the domain, you will be able to determine its value by considering that your base is positive.

3. helder_edwin

the logarithm of a number can be positive or negative so the range is $$\mathbb{R}$$

4. helder_edwin

a logarithmic function has a vertical asymptote when its argument is zero. so $\large 3x=0\Rightarrow x=0/3=0$ therefore VA: x=0