Let .

- Prove that is strictly increasing on .
- If , solve the equation

**Solution**

- It is . However, recalling that
we conclude that is strictly increasing.

- We note that
On the other hand, and hence:

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# An equation!

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Let .

- Prove that is strictly increasing on .
- If , solve the equation

**Solution**

- It is . However, recalling that
we conclude that is strictly increasing.

- We note that
On the other hand, and hence: