Algebra Question

1. Write the inverse function of?

2. What is the last step for solving a logarithmic equation?

3. Simplify: $LaTeX: 2^{log_2}left(sqrt{7}right)$ .

4. What is the first thing you do to solve the given exponential equation ?

Write the first step that you do.

5. What is the first step that needs to be done to solve ? Write the first step.

6. True or false?

log⁡(x.y)=log⁡x.log⁡y

If false, write the above equation with correction

7. What is the change of base formula? Or write a formula for loga⁡M.

8. Write as a single logarithm. 2log⁡x+3log⁡y.

9. Simplify: $LaTeX: ln e^{t^{ }}$ ln⁡et.

10. Simplify $LaTeX: logleft(frac{1}{10^k}right)$ log⁡(110k). (Hint: Use rule $LaTeX: frac{1}{x^m}=x^{-m}$ 1xm=x−m)