Algebra 2 | Unit 4 | Lesson 12: The Number $e$ | Practice Problems

Put the following expressions in order from least to greatest.

Suppose you have $1 to put in an interest-bearing account for 1 year and are offered different options for interest rates and compounding frequencies (how often interest is calculated), as shown in the table. The highest interest rate is 100%, calculated once a year. The lower the interest rate, the more often it gets calculated. Complete the table with expressions that represent the amount you will have after one year, and then evaluate each expression to find its value in dollars (round to 5 decimal places).

Write two equations—one in exponential form and one in logarithmic form—to represent each question. Use “?” for the unknown value. “To what exponent do we raise the number 5 to get 625?” “What is the log, base 3, of 27?”