In this worksheet, we will practice solving exponential equations with base e by using natural logarithms knowing that ln(e) = 1.

**Q1: **

Solve , giving your answer correct to three decimal places.

- A
- B
- C
- D
- E

**Q2: **

Find, to the nearest thousandth, the value of such that .

**Q3: **

Solve for , giving your answer to three decimal places.

- A
- B
- C
- D
- E

**Q4: **

Consider the function .

How many solutions does the equation have?

- A2
- B1
- C0

How many solutions does the equation have?

- A1
- B2
- C0

How many solutions does the equation have?

- A1
- B2
- C0

What is the range of the function ?

- A
- B
- C
- D
- E

**Q5: **

Consider the function .

How many solutions does the equation have?

- A2
- B1
- C0

What is the range of the function ?

- A
- B
- C
- D
- E