1. 7.7 Day 1 Notes Base e and Natural Logarithms
Algebra 2
7.7 Day 1 Notes
Base e and Natural Logarithms

3. Example 1: A. Write ln 25 = x in exponential form.
B. Write ln 47 = x in exponential form.

4. Example 2:
A. Write an equivalent logarithmic equation for ex = 23. B. What is e4 = x in logarithmic form?

5. Example 3:
A. Write 4 ln 3 + ln 6 as a single logarithm. B. Write 2 ln 3 + ln 4 + ln y as a single logarithm.

7. Example 4:
A. Suppose you deposit $700 into an account paying 3% annual interest, compounded continuously. What is the balance after 8 years?

8. Example 5:
B. Suppose you deposit $700 into an account paying 2.4% annual interest, compounded continuously. How long will it take for the balance in your account to reach at least $1200?

9. Example 6:
C. Suppose you deposit money into an account paying 3% annual interest, compounded continuously. How much would have to be deposited in order to reach a balance of $1950 after 10 years?

10. Exit Slip Write ln 4.8=𝑥 in logarithmic form.
Write 2ln 𝑥 ln 25 as a single logarithm.
You deposit $2,000 into an account that pays 2% annual interest compounded continuously Find the amount ten years later.
HW Change: Add #47 to tonight’s HW and cross it off tomorrow’s assignment.