Logs Flashcard Practice

Front

Rewrite in exponential form: log_9 x = 2

Back

9^2 = x

Front

What is the domain of y = log x?

Back

(0, ∞)

Front

Evaluate log_8 64

Back

2

Front

Write 5^x = 10 in log form

Back

x = log_5 10

Front

Logarithms are the inverse of ___________.

Back

Exponential

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 given number.

Front

If log_b a = c, what is the exponential form?

Back

a = b^c

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

Front

What is the product rule for logarithms?

Back

log_b (xy) = log_b x + log_b y