unit 2 review

Front

Can a logarithm be equal to a negative number?

Back

No, a logarithm cannot be equal to a negative number.

Front

What is the value of log_b(b^8)?

Back

8

Front

Which letter appears twice in the compound interest formula?

Back

n

Front

Which point is ALWAYS on the parent logarithmic function?

Back

(1,0)

Front

What is the base in the equation log_5(125)=3?

Back

5

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

What is the value of log_10(1000)?

Back

3, because 10^3 = 1000.

Front

What is the product rule of logarithms?

Back

log_b(xy) = log_b(x) + log_b(y).