Say if the following functions are increasing or decreasing:

- $$\displaystyle f(x)=\log_{\frac{1}{3}} x$$
- $$\displaystyle f(x)=\log_{\frac{2}{3}} x$$
- $$\displaystyle h(x)=\log_{3}x$$

See development and solution

### Development:

- The logarithmic functions are increasing if its base is greater than $$1$$ and decreasing if $$a < 1$$. Therefore the function is decreasing.
- Decreasing.
- Increasing.

### Solution:

- Decreasing.
- Decreasing.
- Increasing.