Ch 3.1 -3.2 Graded Flashcard (PC)

Front

What is the formula for compound interest?

Back

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

Front

What does it mean for interest to be compounded daily?

Back

It means that the interest is calculated and added to the principal every day, resulting in interest being earned on previously accumulated interest.

Front

Convert log_yx = r into exponential form.

Back

y^r = x.

Front

What is the value of log(-1)?

Back

Does not exist.

Front

Solve for x: 2^x+6 = 2⁵.

Back

x = -1.

Front

Solve for n: 2³ⁿ = 4.

Back

n = 2/3.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

What is the definition of a logarithm?

Back

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

Front

If log₁₀100 = x, what is x?

Back

x = 2, because 10² = 100.