3.1-3.4 Review

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years.

Front

How do you convert a number from exponential form to logarithmic form?

Back

If a^b = c, then log_a(c) = b.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

What is the value of log_2(16)?

Back

4, because 2^4 = 16.

Front

What does it mean for interest to be compounded semi-annually?

Back

Interest is calculated and added to the principal twice a year.

Front

How do you evaluate log_6(1/216)?

Back

The answer is -3, because 6^(-3) = 1/216.

Front

What is the definition of a logarithm?

Back

A logarithm is the power to which a number must be raised to obtain another number.

Front

Convert log_5(25) = 2 to exponential form.

Back

5^2 = 25.

Front

What is the formula for calculating the total amount from an investment with compound interest?

Back

A = P(1 + r/n)^(nt), where A is the total amount, P is the principal, r is the interest rate, n is the number of compounding periods per year, and t is the number of years.

Front

What is the value of 2^5?

Back

32.