3.2 Evaluating Logarithms

Front

What is the value of log 1000?

Back

3

Front

What is the value of log_3 9?

Back

2

Front

What is the value of log_17 1?

Back

0

Front

What is the base of the natural logarithm?

Back

e

Front

Write in exponential form: log_3 (1/27) = -3.

Back

3^{-3} = 1/27

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

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

Back

b^c = a

Front

What is the value of log_10 100?

Back

2

Front

What is the value of log_2 8?

Back

3

Front

What is the change of base formula for logarithms?

Back

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