7.7 Day 1 Notes Base e and Natural Logarithms

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Presentation transcript:

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

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

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

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.

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

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?

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?

Exit Slip Write ln 4.8=𝑥 in logarithmic form. Write 2ln 𝑥+ 1 2 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.